120815332225 has 27 divisors (see below), whose sum is σ = 174287502531. Its totient is φ = 82836457200.

The previous prime is 120815332217. The next prime is 120815332241. The reversal of 120815332225 is 522233518021.

The square root of 120815332225 is 347585.

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

It can be written as a sum of positive squares in only one way, i.e., 43493519601 + 77321812624 = 208551^2 + 278068^2 .

It is not a de Polignac number, because 120815332225 - 2³ = 120815332217 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12160510 + ... + 12170440.

Almost surely, 2^120815332225 is an apocalyptic number.

120815332225 is the 347585-th square number.

120815332225 is the 173793-rd centered octagonal number.

It is an amenable number.

120815332225 is a deficient number, since it is larger than the sum of its proper divisors (53472170306).

120815332225 is an frugal number, since it uses more digits than its factorization.

120815332225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19886 (or 9943 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 120815332225 in words is "one hundred twenty billion, eight hundred fifteen million, three hundred thirty-two thousand, two hundred twenty-five".