122167920 has 80 divisors (see below), whose sum is σ = 432829440. Its totient is φ = 27923712.

The previous prime is 122167901. The next prime is 122167939. The reversal of 122167920 is 29761221.

It is an interprime number because it is at equal distance from previous prime (122167901) and next prime (122167939).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 34680 + ... + 38039.

It is an arithmetic number, because the mean of its divisors is an integer number (5410368).

Almost surely, 2^122167920 is an apocalyptic number.

122167920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122167920 is an abundant number, since it is smaller than the sum of its proper divisors (310661520).

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

122167920 is a wasteful number, since it uses less digits than its factorization.

122167920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72742 (or 72736 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 122167920 is about 11052.9597846007. The cubic root of 122167920 is about 496.1950109005.

The spelling of 122167920 in words is "one hundred twenty-two million, one hundred sixty-seven thousand, nine hundred twenty".