122160400992 has 144 divisors (see below), whose sum is σ = 414472932720. Its totient is φ = 34902959616.

The previous prime is 122160400981. The next prime is 122160400993. The reversal of 122160400992 is 299004061221.

122160400992 is a `hidden beast` number, since 1 + 2 + 2 + 160 + 400 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122160400993) 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 23 ways as a sum of consecutive naturals, for example, 1400413 + ... + 1485084.

It is an arithmetic number, because the mean of its divisors is an integer number (2878284255).

Almost surely, 2^122160400992 is an apocalyptic number.

122160400992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122160400992 is an abundant number, since it is smaller than the sum of its proper divisors (292312531728).

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

122160400992 is a wasteful number, since it uses less digits than its factorization.

122160400992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885530 (or 2885509 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 122160400992 in words is "one hundred twenty-two billion, one hundred sixty million, four hundred thousand, nine hundred ninety-two".