122916912022464 has 672 divisors, whose sum is σ = 389814952550400. Its totient is φ = 33479940003840.

The previous prime is 122916912022453. The next prime is 122916912022523. The reversal of 122916912022464 is 464220219619221.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×122916912022464² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 26473594927 + ... + 26473599569.

Almost surely, 2^{122916912022464} is an apocalyptic number.

122916912022464 is a gapful number since it is divisible by the number (14) 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 122916912022464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194907476275200).

122916912022464 is an abundant number, since it is smaller than the sum of its proper divisors (266898040527936).

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

122916912022464 is a wasteful number, since it uses less digits than its factorization.

122916912022464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029 (or 4988 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 122916912022464 in words is "one hundred twenty-two trillion, nine hundred sixteen billion, nine hundred twelve million, twenty-two thousand, four hundred sixty-four".