Arnold Schwarzenegger: Success and secrets

Arnold Schwarzenegger rose to the top in bodybuilding, movies, and politics, and then lost his marriage to infidelity

(CBS News) In his first interview since it was revealed that he had a secret child with his housekeeper, Arnold Schwarzenegger tells Lesley Stahl about the affair that cost him his marriage. Arnold also shares a wealth of new information about his life, as detailed in his autobiography, "Total Recall: My Unbelievably True Life Story."

The following is a script from "Arnold" which aired on Sept. 30, 2012. Lesley Stahl is the correspondent. Rich Bonin, producer.

(CBS News) It's rare enough when someone gets to the very top of his profession. It's almost unheard of when someone gets there in three different professions, but that's what Arnold Schwarzenegger did. He was number-one in bodybuilding, number-one in Hollywood, and then governor of the biggest state. And, now, he's at the center of a king-sized scandal -- having fathered a child with the family housekeeper -- which he kept secret from his wife, Maria Shriver and everyone else.

Tonight, he speaks about it for the first time in connection with his new autobiography "Total Recall" which, published by the CBS company Simon & Schuster, comes out tomorrow. He confesses his infidelity that cost him his marriage in the chapter he calls "The Secret."

Lesley Stahl: What does Maria think about you writing a memoir and bringing this up?

Arnold Schwarzenegger: I think that Maria is, you know, wishing me well with everything that I do.

Lesley Stahl: Has she read it?

Schwarzenegger: No. At this point, she hasn't read anything.

Stahl: But she knows you're discussing--

Schwarzenegger: She knows that it's about my whole life and that I would not write a book and kind of leave out that part and make people feel like, "Well, wait a minute. Are we just getting a book about his success stories and not talk about his failures?" And that's not the book I wanted to write. I wanted to write a book about me. Here's my life.

So what's his life been like since the scandal? Well, he's not hiding. He's out there on the red carpet, promoting one of the five movies he's signed up to make.

[Schwarzenegger: I'm back! (Applause)]

He's trying to go back in time to the days when he was Hollywood's biggest action-hero, though in some of his new movies, his 65th birthday is taken into account.

[Man in "The Last Stand": How are you, Sheriff?

Schwarzenegger: Old.]

At his peak he was making $30 million a movie.

Stahl: Isn't that why you've gone back to the movies?

Schwarzenegger: No.

Stahl: To make money?

Schwarzenegger: No. I don't need money. I have enough money.

Stahl: Well, you-- didn't you lose a lot of money when you became governor?

Schwarzenegger: Even with my divorce and with everything, I don't need money. I have plenty of money, unlike other Hollywood celebrities or athletes that have not invested well. When you read my book, you will see what a fanatic I am about the-- to turn one dollar into two.

One thing Arnold Schwarzenegger isn't is self-effacing. Everything has to be the biggest. His money, his muscles, his movies and his machines.

Stahl: This is not your new car!