122815800 has 216 divisors, whose sum is σ = 432193320. Its totient is φ = 31248000.

The previous prime is 122815799. The next prime is 122815811. The reversal of 122815800 is 8518221.

122815800 is a `hidden beast` number, since 1 + 2 + 2 + 81 + 580 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1729765 + ... + 1729835.

It is an arithmetic number, because the mean of its divisors is an integer number (2000895).

Almost surely, 2^122815800 is an apocalyptic number.

122815800 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 122815800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216096660).

122815800 is an abundant number, since it is smaller than the sum of its proper divisors (309377520).

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

122815800 is a wasteful number, since it uses less digits than its factorization.

122815800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 122815800 is about 11082.2290176661. The cubic root of 122815800 is about 497.0706041306.

It can be divided in two parts, 12281 and 5800, that added together give a palindrome (18081).

The spelling of 122815800 in words is "one hundred twenty-two million, eight hundred fifteen thousand, eight hundred".