12234080175625 has 405 divisors, whose sum is σ = 20696097045393. Its totient is φ = 7202515320000.

The previous prime is 12234080175613. The next prime is 12234080175643. The reversal of 12234080175625 is 52657108043221.

The square root of 12234080175625 is 3497725.

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

It can be written as a sum of positive squares in 2 ways, for example, as 959151885769 + 11274928289856 = 979363^2 + 3357816^2 .

It is not a de Polignac number, because 12234080175625 - 2⁵ = 12234080175593 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 154861774336 + ... + 154861774414.

Almost surely, 2^{12234080175625} is an apocalyptic number.

12234080175625 is the 3497725-th square number.

12234080175625 is the 1748863-rd centered octagonal number.

It is an amenable number.

12234080175625 is a deficient number, since it is larger than the sum of its proper divisors (8462016869768).

12234080175625 is an frugal number, since it uses more digits than its factorization.

12234080175625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 12234080175625 in words is "twelve trillion, two hundred thirty-four billion, eighty million, one hundred seventy-five thousand, six hundred twenty-five".