122088200 has 48 divisors (see below), whose sum is σ = 305696580. Its totient is φ = 45077760.

The previous prime is 122088191. The next prime is 122088217. The reversal of 122088200 is 2880221.

It can be written as a sum of positive squares in 6 ways, for example, as 12802084 + 109286116 = 3578^2 + 10454^2 .

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, 20879 + ... + 26078.

Almost surely, 2^122088200 is an apocalyptic number.

122088200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122088200 is an abundant number, since it is smaller than the sum of its proper divisors (183608380).

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

122088200 is a wasteful number, since it uses less digits than its factorization.

122088200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46986 (or 46977 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 122088200 is about 11049.3529222303. The cubic root of 122088200 is about 496.0870576463.

The spelling of 122088200 in words is "one hundred twenty-two million, eighty-eight thousand, two hundred".