122922800 has 240 divisors, whose sum is σ = 397807872. Its totient is φ = 35251200.

The previous prime is 122922763. The next prime is 122922803. The reversal of 122922800 is 8229221.

It is a super-2 number, since 2×122922800² = 30220029519680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 122922800.

It is not an unprimeable number, because it can be changed into a prime (122922803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400247 + ... + 400553.

Almost surely, 2^122922800 is an apocalyptic number.

122922800 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 122922800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198903936).

122922800 is an abundant number, since it is smaller than the sum of its proper divisors (274885072).

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

122922800 is a wasteful number, since it uses less digits than its factorization.

122922800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 122922800 is about 11087.0555153296. The cubic root of 122922800 is about 497.2149154117.

The spelling of 122922800 in words is "one hundred twenty-two million, nine hundred twenty-two thousand, eight hundred".