116272403251200 has 3264 divisors, whose sum is σ = 509687933440000. Its totient is φ = 25969620418560.

The previous prime is 116272403251189. The next prime is 116272403251217. The reversal of 116272403251200 is 2152304272611.

116272403251200 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 72 + 40 + 32 + 512 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1198684569552 + ... + 1198684569648.

Almost surely, 2^{116272403251200} is an apocalyptic number.

116272403251200 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 116272403251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254843966720000).

116272403251200 is an abundant number, since it is smaller than the sum of its proper divisors (393415530188800).

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

116272403251200 is an frugal number, since it uses more digits than its factorization.

116272403251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 116272403251200 in words is "one hundred sixteen trillion, two hundred seventy-two billion, four hundred three million, two hundred fifty-one thousand, two hundred".