122756800 has 84 divisors (see below), whose sum is σ = 306487576. Its totient is φ = 48384000.

The previous prime is 122756771. The next prime is 122756801. The reversal of 122756800 is 8657221.

It is not an unprimeable number, because it can be changed into a prime (122756801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116275 + ... + 117325.

Almost surely, 2^122756800 is an apocalyptic number.

122756800 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 122756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153243788).

122756800 is an abundant number, since it is smaller than the sum of its proper divisors (183730776).

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

122756800 is a wasteful number, since it uses less digits than its factorization.

122756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 122756800 is about 11079.5667785343. The cubic root of 122756800 is about 496.9909947668.

The spelling of 122756800 in words is "one hundred twenty-two million, seven hundred fifty-six thousand, eight hundred".