116121937608000 has 3136 divisors, whose sum is σ = 464744025308160. Its totient is φ = 28663455744000.

The previous prime is 116121937607989. The next prime is 116121937608013. The reversal of 116121937608000 is 806739121611.

116121937608000 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 2 + 1 + 9 + 37 + 608 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 847605383932 + ... + 847605384068.

Almost surely, 2^{116121937608000} is an apocalyptic number.

116121937608000 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 116121937608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232372012654080).

116121937608000 is an abundant number, since it is smaller than the sum of its proper divisors (348622087700160).

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

116121937608000 is an equidigital number, since it uses as much as digits as its factorization.

116121937608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 116121937608000 in words is "one hundred sixteen trillion, one hundred twenty-one billion, nine hundred thirty-seven million, six hundred eight thousand".