121337948160 has 1728 divisors, whose sum is σ = 532888312320. Its totient is φ = 26276659200.

The previous prime is 121337948141. The next prime is 121337948177. The reversal of 121337948160 is 61849733121.

121337948160 is a `hidden beast` number, since 1 + 213 + 379 + 4 + 8 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3914127345 + ... + 3914127375.

It is an arithmetic number, because the mean of its divisors is an integer number (308384440).

Almost surely, 2^121337948160 is an apocalyptic number.

121337948160 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 121337948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266444156160).

121337948160 is an abundant number, since it is smaller than the sum of its proper divisors (411550364160).

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

121337948160 is a wasteful number, since it uses less digits than its factorization.

121337948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 121337948160 in words is "one hundred twenty-one billion, three hundred thirty-seven million, nine hundred forty-eight thousand, one hundred sixty".