12225253510369 has 27 divisors (see below), whose sum is σ = 12813323034393. Its totient is φ = 11663864907552.

The previous prime is 12225253510321. The next prime is 12225253510397. The reversal of 12225253510369 is 96301535252221.

The square root of 12225253510369 is 3496463.

It is a perfect power (a square), and thus also a powerful number.

12225253510369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4880286284769 + 7344967225600 = 2209137^2 + 2710160^2 .

It is a de Polignac number, because none of the positive numbers 2^k-12225253510369 is a prime.

It is a super-2 number, since 2×12225253510369² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12225253510319) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6856563052 + ... + 6856564834.

Almost surely, 2^{12225253510369} is an apocalyptic number.

12225253510369 is the 3496463-rd square number.

12225253510369 is the 1748232-nd centered octagonal number.

It is an amenable number.

12225253510369 is a deficient number, since it is larger than the sum of its proper divisors (588069524024).

12225253510369 is an frugal number, since it uses more digits than its factorization.

12225253510369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3746 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 46.

The spelling of 12225253510369 in words is "twelve trillion, two hundred twenty-five billion, two hundred fifty-three million, five hundred ten thousand, three hundred sixty-nine".