112112210112000 has 480 divisors, whose sum is σ = 433601445008160. Its totient is φ = 25625645875200.

The previous prime is 112112210111977. The next prime is 112112210112037. The reversal of 112112210112000 is 211012211211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3449656 + ... + 15366344.

It is an arithmetic number, because the mean of its divisors is an integer number (903336343767).

Almost surely, 2^{112112210112000} is an apocalyptic number.

112112210112000 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 112112210112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216800722504080).

112112210112000 is an abundant number, since it is smaller than the sum of its proper divisors (321489234896160).

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

112112210112000 is an equidigital number, since it uses as much as digits as its factorization.

112112210112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11916739 (or 11916706 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112112210112000 its reverse (211012211211), we get a palindrome (112323222323211).

The spelling of 112112210112000 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred ten million, one hundred twelve thousand".