122507004102912 has 1152 divisors, whose sum is σ = 448373802240000. Its totient is φ = 32437779333120.

The previous prime is 122507004102887. The next prime is 122507004102971. The reversal of 122507004102912 is 219201400705221.

It is a happy number.

122507004102912 is a `hidden beast` number, since 1 + 22 + 507 + 0 + 0 + 41 + 0 + 2 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 36602031223 + ... + 36602034569.

It is an arithmetic number, because the mean of its divisors is an integer number (389213370000).

Almost surely, 2^{122507004102912} is an apocalyptic number.

122507004102912 is a gapful number since it is divisible by the number (12) 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 122507004102912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224186901120000).

122507004102912 is an abundant number, since it is smaller than the sum of its proper divisors (325866798137088).

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

122507004102912 is a wasteful number, since it uses less digits than its factorization.

122507004102912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5364 (or 5344 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 122507004102912 in words is "one hundred twenty-two trillion, five hundred seven billion, four million, one hundred two thousand, nine hundred twelve".