22530121135600 has 120 divisors (see below), whose sum is σ = 59392212217632. Its totient is φ = 8161855104000.

The previous prime is 22530121135583. The next prime is 22530121135603. The reversal of 22530121135600 is 653112103522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22530121135603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40599076 + ... + 41150275.

Almost surely, 2^{22530121135600} is an apocalyptic number.

22530121135600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22530121135600 is an abundant number, since it is smaller than the sum of its proper divisors (36862091082032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22530121135600 is a wasteful number, since it uses less digits than its factorization.

22530121135600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81749435 (or 81749424 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The spelling of 22530121135600 in words is "twenty-two trillion, five hundred thirty billion, one hundred twenty-one million, one hundred thirty-five thousand, six hundred".