122965625 has 36 divisors (see below), whose sum is σ = 163700460. Its totient is φ = 92340000.

The previous prime is 122965603. The next prime is 122965637. The reversal of 122965625 is 526569221.

It can be written as a sum of positive squares in 6 ways, for example, as 91336249 + 31629376 = 9557^2 + 5624^2 .

It is not a de Polignac number, because 122965625 - 2¹² = 122961529 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1128071 + ... + 1128179.

It is an arithmetic number, because the mean of its divisors is an integer number (4547235).

Almost surely, 2^122965625 is an apocalyptic number.

It is an amenable number.

122965625 is a deficient number, since it is larger than the sum of its proper divisors (40734835).

122965625 is an frugal number, since it uses more digits than its factorization.

122965625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 133 counting only the distinct ones).

The product of its digits is 64800, while the sum is 38.

The square root of 122965625 is about 11088.9866534323. The cubic root of 122965625 is about 497.2726501755.

The spelling of 122965625 in words is "one hundred twenty-two million, nine hundred sixty-five thousand, six hundred twenty-five".