122635290752 has 72 divisors (see below), whose sum is σ = 264662554095. Its totient is φ = 56577131520.

The previous prime is 122635290733. The next prime is 122635290763. The reversal of 122635290752 is 257092536221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 15350218816 + 107285071936 = 123896^2 + 327544^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247624.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 51504602 + ... + 51506982.

Almost surely, 2^122635290752 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 122635290752

122635290752 is an abundant number, since it is smaller than the sum of its proper divisors (142027263343).

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

122635290752 is an frugal number, since it uses more digits than its factorization.

122635290752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4802 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 44.

The spelling of 122635290752 in words is "one hundred twenty-two billion, six hundred thirty-five million, two hundred ninety thousand, seven hundred fifty-two".