12256125765625 has 63 divisors (see below), whose sum is σ = 17825634543801. Its totient is φ = 8402100000000.

The previous prime is 12256125765623. The next prime is 12256125765661. The reversal of 12256125765625 is 52656752165221.

The square root of 12256125765625 is 3500875.

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

It can be written as a sum of positive squares in 10 ways, for example, as 3472181297641 + 8783944467984 = 1863379^2 + 2963772^2 .

It is not a de Polignac number, because 12256125765625 - 2¹ = 12256125765623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12256125765623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3063263625 + ... + 3063267625.

Almost surely, 2^{12256125765625} is an apocalyptic number.

12256125765625 is the 3500875-th square number.

12256125765625 is the 1750438-th centered octagonal number.

It is an amenable number.

12256125765625 is a deficient number, since it is larger than the sum of its proper divisors (5569508778176).

12256125765625 is an frugal number, since it uses more digits than its factorization.

12256125765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8046 (or 4013 counting only the distinct ones).

The product of its digits is 15120000, while the sum is 55.

The spelling of 12256125765625 in words is "twelve trillion, two hundred fifty-six billion, one hundred twenty-five million, seven hundred sixty-five thousand, six hundred twenty-five".