122251546600512 has 56 divisors (see below), whose sum is σ = 369665390915136. Its totient is φ = 34929013314048.

The previous prime is 122251546600501. The next prime is 122251546600529. The reversal of 122251546600512 is 215006645152221.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×122251546600512³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45480484743 + ... + 45480487430.

Almost surely, 2^{122251546600512} is an apocalyptic number.

122251546600512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122251546600512 is an abundant number, since it is smaller than the sum of its proper divisors (247413844314624).

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

122251546600512 is an equidigital number, since it uses as much as digits as its factorization.

122251546600512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90960972195 (or 90960972185 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 122251546600512 in words is "one hundred twenty-two trillion, two hundred fifty-one billion, five hundred forty-six million, six hundred thousand, five hundred twelve".