122290992 has 160 divisors (see below), whose sum is σ = 378547200. Its totient is φ = 37677312.

The previous prime is 122290963. The next prime is 122291009. The reversal of 122290992 is 299092221.

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, 385618 + ... + 385934.

It is an arithmetic number, because the mean of its divisors is an integer number (2365920).

Almost surely, 2^122290992 is an apocalyptic number.

122290992 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 122290992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189273600).

122290992 is an abundant number, since it is smaller than the sum of its proper divisors (256256208).

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

122290992 is a wasteful number, since it uses less digits than its factorization.

122290992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 122290992 is about 11058.5257606970. The cubic root of 122290992 is about 496.3615773152.

The spelling of 122290992 in words is "one hundred twenty-two million, two hundred ninety thousand, nine hundred ninety-two".