122707406179968 has 256 divisors, whose sum is σ = 333769030963200. Its totient is φ = 39934503346176.

The previous prime is 122707406179921. The next prime is 122707406179979. The reversal of 122707406179968 is 869971604707221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 973658463 + ... + 973784481.

It is an arithmetic number, because the mean of its divisors is an integer number (1303785277200).

Almost surely, 2^{122707406179968} 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 122707406179968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166884515481600).

122707406179968 is an abundant number, since it is smaller than the sum of its proper divisors (211061624783232).

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

122707406179968 is a wasteful number, since it uses less digits than its factorization.

122707406179968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126479 (or 126467 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 69.

The spelling of 122707406179968 in words is "one hundred twenty-two trillion, seven hundred seven billion, four hundred six million, one hundred seventy-nine thousand, nine hundred sixty-eight".