Apple CEO denies 'bizarre' charges of e-book conspiracy

"We're not going to sign something that says we did something we didn't do," Cook said.

The case is scheduled to go to trial in a New York federal court next week. The five publishers have already settled with the Justice Department, leaving Apple as the only company still fighting the charges.

According to the government's case, the publishers were frustrated with Amazon's $9.99 price for most e-books, and Apple wanted a 30 percent share of e-book sales in its iBookstore for iPad users. In early 2010, with Apple's coordination, the publishers all agreed to switch from a wholesale model where booksellers set prices to an "agency model," where the publishers set the prices, the Justice Department claims.

Amazon initially resisted the pricing change, but ultimately relented when it realized it would lose access to most popular books. The scheme raised the price of many e-books by $2 to $3, the government said.

During the interview, Cook said Apple has gotten more attention from government regulators because it has grown to become one of the world's largest companies.

"I think when you get a little larger, you get more attention, and it comes with the territory," he said. 

Cook testified before a Senate subcommittee last week to answer questions about his company's methods for avoiding taxes.