122752830321 has 45 divisors (see below), whose sum is σ = 201614085673. Its totient is φ = 74374633080.

The previous prime is 122752830307. The next prime is 122752830323. The reversal of 122752830321 is 123038257221.

The square root of 122752830321 is 350361.

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

122752830321 is a `hidden beast` number, since 12 + 275 + 28 + 30 + 321 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-122752830321 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122752830323) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 34683970 + ... + 34687508.

Almost surely, 2^122752830321 is an apocalyptic number.

122752830321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122752830321 is the 350361-st square number.

122752830321 is the 175181-st centered octagonal number.

It is an amenable number.

122752830321 is a deficient number, since it is larger than the sum of its proper divisors (78861255352).

122752830321 is an frugal number, since it uses more digits than its factorization.

122752830321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7112 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 122752830321 by its sum of digits (36), we get a square (4419101891556 = 2102166²).

It can be divided in two parts, 12275 and 2830321, that added together give a square (2842596 = 1686²).

The spelling of 122752830321 in words is "one hundred twenty-two billion, seven hundred fifty-two million, eight hundred thirty thousand, three hundred twenty-one".