122751517056 has 64 divisors (see below), whose sum is σ = 372638542080. Its totient is φ = 35071861248.

The previous prime is 122751517013. The next prime is 122751517079. The reversal of 122751517056 is 650715157221.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 122751516999 and 122751517017.

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, 22830556 + ... + 22835931.

It is an arithmetic number, because the mean of its divisors is an integer number (5822477220).

Almost surely, 2^122751517056 is an apocalyptic number.

122751517056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122751517056 is an abundant number, since it is smaller than the sum of its proper divisors (249887025024).

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

122751517056 is an equidigital number, since it uses as much as digits as its factorization.

122751517056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45666511 (or 45666499 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 42.

The spelling of 122751517056 in words is "one hundred twenty-two billion, seven hundred fifty-one million, five hundred seventeen thousand, fifty-six".