121888800 has 504 divisors, whose sum is σ = 512310960. Its totient is φ = 27993600.

The previous prime is 121888787. The next prime is 121888801. The reversal of 121888800 is 8888121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (121888801) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 6415191 + ... + 6415209.

It is an arithmetic number, because the mean of its divisors is an integer number (1016490).

Almost surely, 2^121888800 is an apocalyptic number.

121888800 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 121888800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256155480).

121888800 is an abundant number, since it is smaller than the sum of its proper divisors (390422160).

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

121888800 is a wasteful number, since it uses less digits than its factorization.

121888800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 121888800 is about 11040.3260821409. The cubic root of 121888800 is about 495.8168331648.

The spelling of 121888800 in words is "one hundred twenty-one million, eight hundred eighty-eight thousand, eight hundred".