121979940768 has 192 divisors, whose sum is σ = 407038141440. Its totient is φ = 34813843200.

The previous prime is 121979940751. The next prime is 121979940773. The reversal of 121979940768 is 867049979121.

121979940768 is a `hidden beast` number, since 1 + 219 + 7 + 9 + 9 + 407 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5862223 + ... + 5882993.

It is an arithmetic number, because the mean of its divisors is an integer number (2119990320).

Almost surely, 2^121979940768 is an apocalyptic number.

121979940768 is a gapful number since it is divisible by the number (18) 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 121979940768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203519070720).

121979940768 is an abundant number, since it is smaller than the sum of its proper divisors (285058200672).

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

121979940768 is a wasteful number, since it uses less digits than its factorization.

121979940768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21768 (or 21754 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 121979940768 in words is "one hundred twenty-one billion, nine hundred seventy-nine million, nine hundred forty thousand, seven hundred sixty-eight".