121564800 has 480 divisors, whose sum is σ = 520338720. Its totient is φ = 27371520.

The previous prime is 121564799. The next prime is 121564801. The reversal of 121564800 is 8465121.

121564800 is a `hidden beast` number, since 1 + 2 + 15 + 648 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121564799) and next prime (121564801).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×121564800³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (121564801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1814367 + ... + 1814433.

It is an arithmetic number, because the mean of its divisors is an integer number (1084039).

Almost surely, 2^121564800 is an apocalyptic number.

121564800 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 121564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260169360).

121564800 is an abundant number, since it is smaller than the sum of its proper divisors (398773920).

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

121564800 is an equidigital number, since it uses as much as digits as its factorization.

121564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 121564800 is about 11025.6428384018. The cubic root of 121564800 is about 495.3771230786.

The spelling of 121564800 in words is "one hundred twenty-one million, five hundred sixty-four thousand, eight hundred".