116323711200 has 432 divisors, whose sum is σ = 428104849536. Its totient is φ = 30820953600.

The previous prime is 116323711193. The next prime is 116323711237. The reversal of 116323711200 is 2117323611.

116323711200 is a `hidden beast` number, since 1 + 1 + 632 + 3 + 7 + 1 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31685365 + ... + 31689035.

It is an arithmetic number, because the mean of its divisors is an integer number (990983448).

Almost surely, 2^116323711200 is an apocalyptic number.

116323711200 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 116323711200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214052424768).

116323711200 is an abundant number, since it is smaller than the sum of its proper divisors (311781138336).

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

116323711200 is a wasteful number, since it uses less digits than its factorization.

116323711200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3869 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 116323711200 in words is "one hundred sixteen billion, three hundred twenty-three million, seven hundred eleven thousand, two hundred".