121875200 has 108 divisors (see below), whose sum is σ = 306048120. Its totient is φ = 48046080.

The previous prime is 121875181. The next prime is 121875209. The reversal of 121875200 is 2578121.

It is a self number, because there is not a number n which added to its sum of digits gives 121875200.

It is not an unprimeable number, because it can be changed into a prime (121875209) by changing a digit.

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, 876731 + ... + 876869.

Almost surely, 2^121875200 is an apocalyptic number.

121875200 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 121875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153024060).

121875200 is an abundant number, since it is smaller than the sum of its proper divisors (184172920).

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

121875200 is a wasteful number, since it uses less digits than its factorization.

121875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 121875200 is about 11039.7101411224. The cubic root of 121875200 is about 495.7983918759.

The spelling of 121875200 in words is "one hundred twenty-one million, eight hundred seventy-five thousand, two hundred".