121609125625 has 135 divisors (see below), whose sum is σ = 175151707731. Its totient is φ = 84363552000.

The previous prime is 121609125523. The next prime is 121609125629. The reversal of 121609125625 is 526521906121.

The square root of 121609125625 is 348725.

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

It can be written as a sum of positive squares in 67 ways, for example, as 37696940649 + 83912184976 = 194157^2 + 289676^2 .

It is not a de Polignac number, because 121609125625 - 2²⁹ = 121072254713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121609125629) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3286733107 + ... + 3286733143.

Almost surely, 2^121609125625 is an apocalyptic number.

121609125625 is the 348725-th square number.

121609125625 is the 174363-rd centered octagonal number.

It is an amenable number.

121609125625 is a deficient number, since it is larger than the sum of its proper divisors (53542582106).

121609125625 is an frugal number, since it uses more digits than its factorization.

121609125625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The spelling of 121609125625 in words is "one hundred twenty-one billion, six hundred nine million, one hundred twenty-five thousand, six hundred twenty-five".