122125200 has 60 divisors (see below), whose sum is σ = 391211568. Its totient is φ = 32566400.

The previous prime is 122125187. The next prime is 122125247. The reversal of 122125200 is 2521221.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122125200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49686 + ... + 52085.

Almost surely, 2^122125200 is an apocalyptic number.

122125200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122125200 is an abundant number, since it is smaller than the sum of its proper divisors (269086368).

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

122125200 is a wasteful number, since it uses less digits than its factorization.

122125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101792 (or 101781 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 122125200 is about 11051.0271015865. The cubic root of 122125200 is about 496.1371672316.

Adding to 122125200 its reverse (2521221), we get a palindrome (124646421).

It can be divided in two parts, 12 and 2125200, that added together give a palindrome (2125212).

The spelling of 122125200 in words is "one hundred twenty-two million, one hundred twenty-five thousand, two hundred".