121307954400 has 576 divisors, whose sum is σ = 449521228800. Its totient is φ = 31563509760.

The previous prime is 121307954359. The next prime is 121307954407. The reversal of 121307954400 is 4459703121.

121307954400 is a `hidden beast` number, since 1 + 2 + 130 + 79 + 54 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121307954407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168717241 + ... + 168717959.

It is an arithmetic number, because the mean of its divisors is an integer number (780418800).

Almost surely, 2^121307954400 is an apocalyptic number.

121307954400 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 121307954400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224760614400).

121307954400 is an abundant number, since it is smaller than the sum of its proper divisors (328213274400).

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

121307954400 is a wasteful number, since it uses less digits than its factorization.

121307954400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 121307954400 in words is "one hundred twenty-one billion, three hundred seven million, nine hundred fifty-four thousand, four hundred".