122860056084480 has 1248 divisors, whose sum is σ = 501254888228640. Its totient is φ = 27444841021440.

The previous prime is 122860056084457. The next prime is 122860056084497. The reversal of 122860056084480 is 84480650068221.

122860056084480 is a `hidden beast` number, since 1 + 2 + 2 + 86 + 0 + 0 + 5 + 6 + 0 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215922769636 + ... + 215922770204.

It is an arithmetic number, because the mean of its divisors is an integer number (401646545055).

Almost surely, 2^{122860056084480} is an apocalyptic number.

122860056084480 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 122860056084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250627444114320).

122860056084480 is an abundant number, since it is smaller than the sum of its proper divisors (378394832144160).

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

122860056084480 is an frugal number, since it uses more digits than its factorization.

122860056084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 122860056084480 in words is "one hundred twenty-two trillion, eight hundred sixty billion, fifty-six million, eighty-four thousand, four hundred eighty".