122831304871680 has 1152 divisors, whose sum is σ = 466111666944000. Its totient is φ = 30556095381504.

The previous prime is 122831304871673. The next prime is 122831304871699. The reversal of 122831304871680 is 86178403138221.

122831304871680 is a `hidden beast` number, since 1 + 2 + 2 + 83 + 1 + 3 + 0 + 487 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 26421013996 + ... + 26421018644.

It is an arithmetic number, because the mean of its divisors is an integer number (404610822000).

Almost surely, 2^{122831304871680} is an apocalyptic number.

122831304871680 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 122831304871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233055833472000).

122831304871680 is an abundant number, since it is smaller than the sum of its proper divisors (343280362072320).

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

122831304871680 is a wasteful number, since it uses less digits than its factorization.

122831304871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5518 (or 5498 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 122831304871680 in words is "one hundred twenty-two trillion, eight hundred thirty-one billion, three hundred four million, eight hundred seventy-one thousand, six hundred eighty".