122865792 has 128 divisors (see below), whose sum is σ = 382018560. Its totient is φ = 34255872.

The previous prime is 122865767. The next prime is 122865823. The reversal of 122865792 is 297568221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115053 + ... + 116115.

It is an arithmetic number, because the mean of its divisors is an integer number (2984520).

Almost surely, 2^122865792 is an apocalyptic number.

122865792 is a gapful number since it is divisible by the number (12) 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 122865792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191009280).

122865792 is an abundant number, since it is smaller than the sum of its proper divisors (259152768).

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

122865792 is a wasteful number, since it uses less digits than its factorization.

122865792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1118 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 122865792 is about 11084.4842911161. The cubic root of 122865792 is about 497.1380389469.

The spelling of 122865792 in words is "one hundred twenty-two million, eight hundred sixty-five thousand, seven hundred ninety-two".