122825242203120 has 160 divisors (see below), whose sum is σ = 424442786423040. Its totient is φ = 32646709152000.

The previous prime is 122825242203113. The next prime is 122825242203149. The reversal of 122825242203120 is 21302242528221.

122825242203120 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 2 + 524 + 2 + 2 + 0 + 3 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91948506 + ... + 93274745.

It is an arithmetic number, because the mean of its divisors is an integer number (2652767415144).

Almost surely, 2^{122825242203120} is an apocalyptic number.

122825242203120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122825242203120 is an abundant number, since it is smaller than the sum of its proper divisors (301617544219920).

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

122825242203120 is a wasteful number, since it uses less digits than its factorization.

122825242203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185223580 (or 185223568 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 122825242203120 in words is "one hundred twenty-two trillion, eight hundred twenty-five billion, two hundred forty-two million, two hundred three thousand, one hundred twenty".