112110220012000 has 192 divisors, whose sum is σ = 315739665311616. Its totient is φ = 38323727769600.

The previous prime is 112110220011989. The next prime is 112110220012039. The reversal of 112110220012000 is 210022011211.

It is a super-2 number, since 2×112110220012000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3495442 + ... + 15376558.

It is an arithmetic number, because the mean of its divisors is an integer number (1644477423498).

Almost surely, 2^{112110220012000} is an apocalyptic number.

112110220012000 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 112110220012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157869832655808).

112110220012000 is an abundant number, since it is smaller than the sum of its proper divisors (203629445299616).

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

112110220012000 is a wasteful number, since it uses less digits than its factorization.

112110220012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11881486 (or 11881468 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112110220012000 its reverse (210022011211), we get a palindrome (112320242023211).

The spelling of 112110220012000 in words is "one hundred twelve trillion, one hundred ten billion, two hundred twenty million, twelve thousand".