122870160 has 120 divisors (see below), whose sum is σ = 471606720. Its totient is φ = 28083456.

The previous prime is 122870159. The next prime is 122870171. The reversal of 122870160 is 61078221.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7150 + ... + 17229.

It is an arithmetic number, because the mean of its divisors is an integer number (3930056).

Almost surely, 2^122870160 is an apocalyptic number.

122870160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122870160 is an abundant number, since it is smaller than the sum of its proper divisors (348736560).

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

122870160 is a wasteful number, since it uses less digits than its factorization.

122870160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24405 (or 24396 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 122870160 is about 11084.6813215356. The cubic root of 122870160 is about 497.1439301262.

The spelling of 122870160 in words is "one hundred twenty-two million, eight hundred seventy thousand, one hundred sixty".