121359008160 has 720 divisors, whose sum is σ = 471267520416. Its totient is φ = 29391538176.

The previous prime is 121359008137. The next prime is 121359008167. The reversal of 121359008160 is 61800953121.

121359008160 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 590 + 0 + 8 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (121359008167) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 146745667 + ... + 146746493.

Almost surely, 2^121359008160 is an apocalyptic number.

121359008160 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 121359008160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235633760208).

121359008160 is an abundant number, since it is smaller than the sum of its proper divisors (349908512256).

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

121359008160 is a wasteful number, since it uses less digits than its factorization.

121359008160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 121359008160 in words is "one hundred twenty-one billion, three hundred fifty-nine million, eight thousand, one hundred sixty".