122479135833600 has 4320 divisors, whose sum is σ = 571539240290304. Its totient is φ = 24491438899200.

The previous prime is 122479135833553. The next prime is 122479135833623. The reversal of 122479135833600 is 6338531974221.

122479135833600 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 79 + 135 + 83 + 360 + 0 = 666.

It is a super-2 number, since 2×122479135833600² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 223910668527 + ... + 223910669073.

It is a 1-persistent number, because it is pandigital, but 2⋅122479135833600 = 244958271667200 is not.

Almost surely, 2^{122479135833600} is an apocalyptic number.

122479135833600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122479135833600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285769620145152).

122479135833600 is an abundant number, since it is smaller than the sum of its proper divisors (449060104456704).

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

122479135833600 is a wasteful number, since it uses less digits than its factorization.

122479135833600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 122479135833600 in words is "one hundred twenty-two trillion, four hundred seventy-nine billion, one hundred thirty-five million, eight hundred thirty-three thousand, six hundred".