122500680597504 has 960 divisors, whose sum is σ = 409630741954560. Its totient is φ = 35844194304000.

The previous prime is 122500680597497. The next prime is 122500680597527. The reversal of 122500680597504 is 405795086005221.

122500680597504 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 0 + 0 + 6 + 80 + 59 + 7 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 130181381674 + ... + 130181382614.

It is an arithmetic number, because the mean of its divisors is an integer number (426698689536).

Almost surely, 2^{122500680597504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122500680597504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204815370977280).

122500680597504 is an abundant number, since it is smaller than the sum of its proper divisors (287130061357056).

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

122500680597504 is an equidigital number, since it uses as much as digits as its factorization.

122500680597504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 122500680597504 in words is "one hundred twenty-two trillion, five hundred billion, six hundred eighty million, five hundred ninety-seven thousand, five hundred four".