116121600 has 420 divisors, whose sum is σ = 491621064. Its totient is φ = 26542080.

The previous prime is 116121589. The next prime is 116121659. The reversal of 116121600 is 6121611.

It is a Jordan-Polya number, since it can be written as 10! ⋅ (2!)⁵.

116121600 is a `hidden beast` number, since 1 + 1 + 61 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16588797 + ... + 16588803.

Almost surely, 2^116121600 is an apocalyptic number.

116121600 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 116121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245810532).

116121600 is an abundant number, since it is smaller than the sum of its proper divisors (375499464).

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

116121600 is an frugal number, since it uses more digits than its factorization.

116121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 116121600 is about 10775.9732739090. The cubic root of 116121600 is about 487.8702512711.

The spelling of 116121600 in words is "one hundred sixteen million, one hundred twenty-one thousand, six hundred".