122587515625 has 21 divisors (see below), whose sum is σ = 153287158993. Its totient is φ = 98035000000.

The previous prime is 122587515607. The next prime is 122587515653. The reversal of 122587515625 is 526515785221.

It is a happy number.

The square root of 122587515625 is 350125.

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 102628607449 + 19958908176 = 320357^2 + 141276^2 .

It is not a de Polignac number, because 122587515625 - 2¹⁹ = 122586991337 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 43764225 + ... + 43767025.

Almost surely, 2^122587515625 is an apocalyptic number.

122587515625 is the 350125-th square number.

122587515625 is the 175063-rd centered octagonal number.

It is an amenable number.

122587515625 is a deficient number, since it is larger than the sum of its proper divisors (30699643368).

122587515625 is an frugal number, since it uses more digits than its factorization.

122587515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5632 (or 2806 counting only the distinct ones).

The product of its digits is 1680000, while the sum is 49.

Multiplying 122587515625 by its sum of digits (49), we get a square (6006788265625 = 2450875²).

The spelling of 122587515625 in words is "one hundred twenty-two billion, five hundred eighty-seven million, five hundred fifteen thousand, six hundred twenty-five".