122919806016 has 224 divisors, whose sum is σ = 430941358080. Its totient is φ = 33592914432.

The previous prime is 122919805997. The next prime is 122919806017. The reversal of 122919806016 is 610608919221.

122919806016 is a `hidden beast` number, since 1 + 2 + 29 + 19 + 8 + 0 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×122919806016² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122919806017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57295 + ... + 499121.

Almost surely, 2^122919806016 is an apocalyptic number.

122919806016 is a gapful number since it is divisible by the number (16) 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 122919806016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215470679040).

122919806016 is an abundant number, since it is smaller than the sum of its proper divisors (308021552064).

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

122919806016 is a wasteful number, since it uses less digits than its factorization.

122919806016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441878 (or 441862 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 122919806016 in words is "one hundred twenty-two billion, nine hundred nineteen million, eight hundred six thousand, sixteen".