112133221200000 has 6912 divisors, whose sum is σ = 575992451623680. Its totient is φ = 20205158400000.

The previous prime is 112133221199983. The next prime is 112133221200031. The reversal of 112133221200000 is 2122331211.

112133221200000 is a `hidden beast` number, since 1 + 121 + 332 + 212 + 0 + 0 + 0 + 0 + 0 = 666.

112133221200000 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 (18).

It is a congruent number.

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 863 ways as a sum of consecutive naturals, for example, 3030627599982 + ... + 3030627600018.

It is an arithmetic number, because the mean of its divisors is an integer number (83332241265).

Almost surely, 2^{112133221200000} is an apocalyptic number.

112133221200000 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 112133221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287996225811840).

112133221200000 is an abundant number, since it is smaller than the sum of its proper divisors (463859230423680).

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

112133221200000 is a wasteful number, since it uses less digits than its factorization.

112133221200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112133221200000 its reverse (2122331211), we get a palindrome (112135343531211).

The spelling of 112133221200000 in words is "one hundred twelve trillion, one hundred thirty-three billion, two hundred twenty-one million, two hundred thousand".