iPhone sales grew 58 percent over last year. That compares to 45 percent growth for the overall smartphone market.

Apple didn't break down how many of the phones it sold during the quarter were iPhone 5s. (It previously reported that .) However, Oppenheimer said that demand for the newly launched phone was "phenomenal."

"Demand for iPhone 5 continues to outstrip supply, and we're working hard to get more into customers' hands," Oppenheimer said during a to discuss Apple's quarterly performance.

Apple saw $17.1 billion in recognized revenue from its iPhone business for the quarter. That's up 56 percent from $11 billion in 2011's fourth quarter.

When Apple first announced the iPhone 5, it said it would launch the smartphone in 100 countries by year's end. CEO Tim Cook told analysts that the company still expected to hit that number.