122126520960 has 256 divisors, whose sum is σ = 434932243200. Its totient is φ = 32386314240.

The previous prime is 122126520959. The next prime is 122126520977. The reversal of 122126520960 is 69025621221.

122126520960 is a `hidden beast` number, since 1 + 2 + 2 + 126 + 520 + 9 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3108157 + ... + 3147203.

It is an arithmetic number, because the mean of its divisors is an integer number (1698954075).

Almost surely, 2^122126520960 is an apocalyptic number.

122126520960 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 122126520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217466121600).

122126520960 is an abundant number, since it is smaller than the sum of its proper divisors (312805722240).

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

122126520960 is a wasteful number, since it uses less digits than its factorization.

122126520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39256 (or 39238 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 122126520960 in words is "one hundred twenty-two billion, one hundred twenty-six million, five hundred twenty thousand, nine hundred sixty".