112011271800000 has 336 divisors, whose sum is σ = 375119385822720. Its totient is φ = 29491562880000.

The previous prime is 112011271799983. The next prime is 112011271800067. The reversal of 112011271800000 is 8172110211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46218447 + ... + 48581553.

It is an arithmetic number, because the mean of its divisors is an integer number (1116426743520).

Almost surely, 2^{112011271800000} is an apocalyptic number.

112011271800000 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 112011271800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187559692911360).

112011271800000 is an abundant number, since it is smaller than the sum of its proper divisors (263108114022720).

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

112011271800000 is an frugal number, since it uses more digits than its factorization.

112011271800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363226 (or 2363196 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 24.

The spelling of 112011271800000 in words is "one hundred twelve trillion, eleven billion, two hundred seventy-one million, eight hundred thousand".