121199212800 has 972 divisors, whose sum is σ = 469391324220. Its totient is φ = 29789061120.

The previous prime is 121199212789. The next prime is 121199212807. The reversal of 121199212800 is 8212991121.

121199212800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 18 ways, for example, as 13908900096 + 107290312704 = 117936^2 + 327552^2 .

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 (121199212807) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2286777574 + ... + 2286777626.

It is an arithmetic number, because the mean of its divisors is an integer number (482912885).

Almost surely, 2^121199212800 is an apocalyptic number.

121199212800 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 121199212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234695662110).

121199212800 is an abundant number, since it is smaller than the sum of its proper divisors (348192111420).

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

121199212800 is a wasteful number, since it uses less digits than its factorization.

121199212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 121199212800 in words is "one hundred twenty-one billion, one hundred ninety-nine million, two hundred twelve thousand, eight hundred".