112041302936200 has 768 divisors, whose sum is σ = 313126151500800. Its totient is φ = 36817182720000.

The previous prime is 112041302936179. The next prime is 112041302936273. The reversal of 112041302936200 is 2639203140211.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40876066830 + ... + 40876069570.

It is an arithmetic number, because the mean of its divisors is an integer number (407716343100).

Almost surely, 2^{112041302936200} is an apocalyptic number.

112041302936200 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 112041302936200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156563075750400).

112041302936200 is an abundant number, since it is smaller than the sum of its proper divisors (201084848564600).

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

112041302936200 is a wasteful number, since it uses less digits than its factorization.

112041302936200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 112041302936200 in words is "one hundred twelve trillion, forty-one billion, three hundred two million, nine hundred thirty-six thousand, two hundred".