121319976960 has 832 divisors, whose sum is σ = 531059880960. Its totient is φ = 25586565120.

The previous prime is 121319976929. The next prime is 121319976997. The reversal of 121319976960 is 69679913121.

121319976960 is a `hidden beast` number, since 121 + 319 + 97 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 121319976897 and 121319976906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50318155 + ... + 50320565.

Almost surely, 2^121319976960 is an apocalyptic number.

121319976960 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 121319976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265529940480).

121319976960 is an abundant number, since it is smaller than the sum of its proper divisors (409739904000).

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

121319976960 is a wasteful number, since it uses less digits than its factorization.

121319976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 121319976960 in words is "one hundred twenty-one billion, three hundred nineteen million, nine hundred seventy-six thousand, nine hundred sixty".