116012400 has 180 divisors, whose sum is σ = 432519192. Its totient is φ = 26503680.

The previous prime is 116012399. The next prime is 116012401. The reversal of 116012400 is 4210611.

It is an interprime number because it is at equal distance from previous prime (116012399) and next prime (116012401).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 116012400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116012401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57814 + ... + 59786.

Almost surely, 2^116012400 is an apocalyptic number.

116012400 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 116012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216259596).

116012400 is an abundant number, since it is smaller than the sum of its proper divisors (316506792).

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

116012400 is a wasteful number, since it uses less digits than its factorization.

116012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 116012400 is about 10770.9052544343. The cubic root of 116012400 is about 487.7172733005.

The spelling of 116012400 in words is "one hundred sixteen million, twelve thousand, four hundred".