122025516022944 has 288 divisors, whose sum is σ = 365161015162944. Its totient is φ = 38615311687680.

The previous prime is 122025516022931. The next prime is 122025516023041. The reversal of 122025516022944 is 449220615520221.

122025516022944 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 2 + 551 + 6 + 0 + 2 + 2 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 122025516022944.

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, 69360904 + ... + 71098424.

It is an arithmetic number, because the mean of its divisors is an integer number (1267920191538).

Almost surely, 2^{122025516022944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122025516022944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182580507581472).

122025516022944 is an abundant number, since it is smaller than the sum of its proper divisors (243135499140000).

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

122025516022944 is a wasteful number, since it uses less digits than its factorization.

122025516022944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737740 (or 1737729 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 122025516022944 in words is "one hundred twenty-two trillion, twenty-five billion, five hundred sixteen million, twenty-two thousand, nine hundred forty-four".