122752200 has 48 divisors (see below), whose sum is σ = 380533680. Its totient is φ = 32733760.

The previous prime is 122752183. The next prime is 122752243. The reversal of 122752200 is 2257221.

It is a happy 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 11 ways as a sum of consecutive naturals, for example, 101694 + ... + 102893.

It is an arithmetic number, because the mean of its divisors is an integer number (7927785).

Almost surely, 2^122752200 is an apocalyptic number.

122752200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122752200 is an abundant number, since it is smaller than the sum of its proper divisors (257781480).

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

122752200 is a wasteful number, since it uses less digits than its factorization.

122752200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204606 (or 204597 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 122752200 is about 11079.3591872454. The cubic root of 122752200 is about 496.9847868633.

The spelling of 122752200 in words is "one hundred twenty-two million, seven hundred fifty-two thousand, two hundred".