In Sarah's first 10 math quizzes, she scored 10, 12, 15, 8, 11, 13, 9, 14, 10, and 7 points. In her eleventh quiz, she scored fewer than 12 points and her points-per-quiz average for the eleven quizzes was an integer. Similarly, in her twelfth quiz, she scored fewer than 12 points and her points-per-quiz average for the 12 quizzes was also an integer. What is the product of the number of points she scored in the eleventh and twelfth quizzes?