122400552434112 has 56 divisors (see below), whose sum is σ = 359834957392400. Its totient is φ = 40800184144128.

The previous prime is 122400552434087. The next prime is 122400552434123. The reversal of 122400552434112 is 211434255004221.

122400552434112 is a `hidden beast` number, since 1 + 2 + 2 + 400 + 5 + 5 + 243 + 4 + 1 + 1 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35416824787 + ... + 35416828242.

It is an arithmetic number, because the mean of its divisors is an integer number (6425624239150).

Almost surely, 2^{122400552434112} is an apocalyptic number.

122400552434112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122400552434112 is an abundant number, since it is smaller than the sum of its proper divisors (237434404958288).

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

122400552434112 is an equidigital number, since it uses as much as digits as its factorization.

122400552434112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70833653050 (or 70833653034 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 122400552434112 in words is "one hundred twenty-two trillion, four hundred billion, five hundred fifty-two million, four hundred thirty-four thousand, one hundred twelve".