121863979008000 has 2304 divisors, whose sum is σ = 482879988864000. Its totient is φ = 30614696755200.

The previous prime is 121863979007959. The next prime is 121863979008113. The reversal of 121863979008000 is 800979368121.

121863979008000 is a `hidden beast` number, since 12 + 1 + 86 + 397 + 90 + 0 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 680804351911 + ... + 680804352089.

It is an arithmetic number, because the mean of its divisors is an integer number (209583328500).

Almost surely, 2^{121863979008000} is an apocalyptic number.

121863979008000 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 121863979008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241439994432000).

121863979008000 is an abundant number, since it is smaller than the sum of its proper divisors (361016009856000).

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

121863979008000 is an frugal number, since it uses more digits than its factorization.

121863979008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 121863979008000 in words is "one hundred twenty-one trillion, eight hundred sixty-three billion, nine hundred seventy-nine million, eight thousand".