122867160 has 256 divisors, whose sum is σ = 434367360. Its totient is φ = 27525120.

The previous prime is 122867159. The next prime is 122867161. The reversal of 122867160 is 61768221.

It is an interprime number because it is at equal distance from previous prime (122867159) and next prime (122867161).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122867161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1087264 + ... + 1087376.

Almost surely, 2^122867160 is an apocalyptic number.

122867160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122867160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217183680).

122867160 is an abundant number, since it is smaller than the sum of its proper divisors (311500200).

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

122867160 is a wasteful number, since it uses less digits than its factorization.

122867160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 122867160 is about 11084.5459988220. The cubic root of 122867160 is about 497.1398840016.

The spelling of 122867160 in words is "one hundred twenty-two million, eight hundred sixty-seven thousand, one hundred sixty".