122938800 has 120 divisors (see below), whose sum is σ = 401451984. Its totient is φ = 32148480.

The previous prime is 122938799. The next prime is 122938813. The reversal of 122938800 is 8839221.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×122938800² = 30227897090880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62634 + ... + 64566.

Almost surely, 2^122938800 is an apocalyptic number.

122938800 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 122938800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200725992).

122938800 is an abundant number, since it is smaller than the sum of its proper divisors (278513184).

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

122938800 is a wasteful number, since it uses less digits than its factorization.

122938800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 122938800 is about 11087.7770540357. Note that the first 3 decimals coincide. The cubic root of 122938800 is about 497.2364874703.

The spelling of 122938800 in words is "one hundred twenty-two million, nine hundred thirty-eight thousand, eight hundred".