121360800 has 144 divisors (see below), whose sum is σ = 431034912. Its totient is φ = 29414400.

The previous prime is 121360787. The next prime is 121360823. The reversal of 121360800 is 8063121.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24102 + ... + 28698.

It is an arithmetic number, because the mean of its divisors is an integer number (2993298).

Almost surely, 2^121360800 is an apocalyptic number.

121360800 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 121360800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215517456).

121360800 is an abundant number, since it is smaller than the sum of its proper divisors (309674112).

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

121360800 is a wasteful number, since it uses less digits than its factorization.

121360800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4631 (or 4618 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 121360800 is about 11016.3877927386. The cubic root of 121360800 is about 495.0998676166.

The spelling of 121360800 in words is "one hundred twenty-one million, three hundred sixty thousand, eight hundred".