112112122320000 has 960 divisors, whose sum is σ = 451675165930560. Its totient is φ = 26444067840000.

The previous prime is 112112122319983. The next prime is 112112122320041. The reversal of 112112122320000 is 23221211211.

112112122320000 is a `hidden beast` number, since 1 + 121 + 121 + 223 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 119 ways as a sum of consecutive naturals, for example, 292848709 + ... + 293231291.

It is an arithmetic number, because the mean of its divisors is an integer number (470494964511).

Almost surely, 2^{112112122320000} is an apocalyptic number.

112112122320000 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 112112122320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225837582965280).

112112122320000 is an abundant number, since it is smaller than the sum of its proper divisors (339563043610560).

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

112112122320000 is a wasteful number, since it uses less digits than its factorization.

112112122320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382671 (or 382641 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112112122320000 its reverse (23221211211), we get a palindrome (112135343531211).

The spelling of 112112122320000 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred twenty-two million, three hundred twenty thousand".