122825082528 has 72 divisors (see below), whose sum is σ = 349503306516. Its totient is φ = 40915968000.

The previous prime is 122825082503. The next prime is 122825082553. The reversal of 122825082528 is 825280528221.

It is a happy number.

122825082528 is a `hidden beast` number, since 1 + 2 + 28 + 25 + 0 + 82 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (122825082503) and next prime (122825082553).

It can be written as a sum of positive squares in 2 ways, for example, as 72518181264 + 50306901264 = 269292^2 + 224292^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327898 + ... + 594278.

Almost surely, 2^122825082528 is an apocalyptic number.

122825082528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122825082528 is an abundant number, since it is smaller than the sum of its proper divisors (226678223988).

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

122825082528 is a wasteful number, since it uses less digits than its factorization.

122825082528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267998 (or 267987 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 122825082528 in words is "one hundred twenty-two billion, eight hundred twenty-five million, eighty-two thousand, five hundred twenty-eight".