122479116624000 has 384 divisors, whose sum is σ = 463003302528000. Its totient is φ = 30942091929600.

The previous prime is 122479116623993. The next prime is 122479116624017. The reversal of 122479116624000 is 426611974221.

122479116624000 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 7 + 9 + 1 + 16 + 624 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×122479116624000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19646880 + ... + 25118879.

It is an arithmetic number, because the mean of its divisors is an integer number (1205737767000).

Almost surely, 2^{122479116624000} is an apocalyptic number.

122479116624000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122479116624000 is an abundant number, since it is smaller than the sum of its proper divisors (340524185904000).

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

122479116624000 is a wasteful number, since it uses less digits than its factorization.

122479116624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44765813 (or 44765788 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 122479116624000 in words is "one hundred twenty-two trillion, four hundred seventy-nine billion, one hundred sixteen million, six hundred twenty-four thousand".