122872176 has 120 divisors (see below), whose sum is σ = 398228480. Its totient is φ = 34639488.

The previous prime is 122872157. The next prime is 122872181. The reversal of 122872176 is 671278221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 122872176.

It is a congruent number.

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, 78861 + ... + 80403.

Almost surely, 2^122872176 is an apocalyptic number.

122872176 is a gapful number since it is divisible by the number (16) 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 122872176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199114240).

122872176 is an abundant number, since it is smaller than the sum of its proper divisors (275356304).

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

122872176 is a wasteful number, since it uses less digits than its factorization.

122872176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1634 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 122872176 is about 11084.7722574711. The cubic root of 122872176 is about 497.1466490849.

The spelling of 122872176 in words is "one hundred twenty-two million, eight hundred seventy-two thousand, one hundred seventy-six".