121937768400 has 240 divisors, whose sum is σ = 460809617408. Its totient is φ = 26972352000.

The previous prime is 121937768389. The next prime is 121937768423. The reversal of 121937768400 is 4867739121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 121937768400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26265 + ... + 494535.

Almost surely, 2^121937768400 is an apocalyptic number.

121937768400 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 121937768400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230404808704).

121937768400 is an abundant number, since it is smaller than the sum of its proper divisors (338871849008).

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

121937768400 is a wasteful number, since it uses less digits than its factorization.

121937768400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468330 (or 468319 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 121937768400 in words is "one hundred twenty-one billion, nine hundred thirty-seven million, seven hundred sixty-eight thousand, four hundred".