122821917075025 has 81 divisors (see below), whose sum is σ = 181614338909073. Its totient is φ = 82155939465600.

The previous prime is 122821917075017. The next prime is 122821917075043. The reversal of 122821917075025 is 520570719128221.

The square root of 122821917075025 is 11082505.

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

It can be written as a sum of positive squares in 4 ways, for example, as 51697724952769 + 71124192122256 = 7190113^2 + 8433516^2 .

It is not a de Polignac number, because 122821917075025 - 2³ = 122821917075017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15903390814 + ... + 15903398536.

Almost surely, 2^{122821917075025} is an apocalyptic number.

122821917075025 is the 11082505-th square number.

122821917075025 is the 5541253-rd centered octagonal number.

It is an amenable number.

122821917075025 is a deficient number, since it is larger than the sum of its proper divisors (58792421834048).

122821917075025 is an frugal number, since it uses more digits than its factorization.

122821917075025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15552 (or 7776 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 52.

The spelling of 122821917075025 in words is "one hundred twenty-two trillion, eight hundred twenty-one billion, nine hundred seventeen million, seventy-five thousand, twenty-five".