122612800 has 84 divisors (see below), whose sum is σ = 304015140. Its totient is φ = 48670720.

The previous prime is 122612773. The next prime is 122612827. The reversal of 122612800 is 8216221.

It is an interprime number because it is at equal distance from previous prime (122612773) and next prime (122612827).

It can be written as a sum of positive squares in 6 ways, for example, as 200704 + 122412096 = 448^2 + 11064^2 .

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 11 ways as a sum of consecutive naturals, for example, 315006 + ... + 315394.

Almost surely, 2^122612800 is an apocalyptic number.

122612800 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 122612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152007570).

122612800 is an abundant number, since it is smaller than the sum of its proper divisors (181402340).

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

122612800 is a wasteful number, since it uses less digits than its factorization.

122612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 122612800 is about 11073.0664226311. The cubic root of 122612800 is about 496.7965867848.

The spelling of 122612800 in words is "one hundred twenty-two million, six hundred twelve thousand, eight hundred".