112993903411200 has 2304 divisors, whose sum is σ = 487084043152800. Its totient is φ = 25604967628800.

The previous prime is 112993903411133. The next prime is 112993903411219. The reversal of 112993903411200 is 2114309399211.

112993903411200 is a `hidden beast` number, since 1 + 1 + 29 + 9 + 3 + 9 + 0 + 3 + 411 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 148480818820 + ... + 148480819580.

Almost surely, 2^{112993903411200} is an apocalyptic number.

112993903411200 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 112993903411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243542021576400).

112993903411200 is an abundant number, since it is smaller than the sum of its proper divisors (374090139741600).

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

112993903411200 is an equidigital number, since it uses as much as digits as its factorization.

112993903411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 112993903411200 in words is "one hundred twelve trillion, nine hundred ninety-three billion, nine hundred three million, four hundred eleven thousand, two hundred".