NEW YORK — Profits at big U.S. companies broke records last year, and so did pay for CEOs.

The head of a typical public company made $9.6 million in 2011, according to an analysis by The Associated Press using data from Equilar, an executive pay research firm.

That was up more than 6 percent from the previous year, and is the second year in a row of increases. The figure is also the highest since the AP began tracking executive compensation in 2006.

David Simon, CEO of Simon Property, which operates malls around the country, is on track to be the highest-paid in the AP survey, at $137 million. That was almost entirely in stock awards that could eventually be worth $132 million. The company said it wanted to make sure Simon wasn’t lured to another company. He has been CEO since 1995; his father and uncle are Simon Property’s co-founders.