122875200 has 504 divisors, whose sum is σ = 530644608. Its totient is φ = 26357760.

The previous prime is 122875199. The next prime is 122875231. The reversal of 122875200 is 2578221.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 2318374 + ... + 2318426.

Almost surely, 2^122875200 is an apocalyptic number.

122875200 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 122875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265322304).

122875200 is an abundant number, since it is smaller than the sum of its proper divisors (407769408).

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

122875200 is a wasteful number, since it uses less digits than its factorization.

122875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 122875200 is about 11084.9086599755. The cubic root of 122875200 is about 497.1507274673.

The spelling of 122875200 in words is "one hundred twenty-two million, eight hundred seventy-five thousand, two hundred".