112691995200 has 840 divisors, whose sum is σ = 432718000704. Its totient is φ = 28740096000.

The previous prime is 112691995187. The next prime is 112691995211. The reversal of 112691995200 is 2599196211.

112691995200 is a `hidden beast` number, since 11 + 26 + 9 + 1 + 99 + 520 + 0 = 666.

112691995200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 340459035 + ... + 340459365.

Almost surely, 2^112691995200 is an apocalyptic number.

112691995200 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 112691995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216359000352).

112691995200 is an abundant number, since it is smaller than the sum of its proper divisors (320026005504).

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

112691995200 is a wasteful number, since it uses less digits than its factorization.

112691995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 112691995200 in words is "one hundred twelve billion, six hundred ninety-one million, nine hundred ninety-five thousand, two hundred".