112112020012122 has 128 divisors (see below), whose sum is σ = 272188643328000. Its totient is φ = 33996713446080.

The previous prime is 112112020012033. The next prime is 112112020012127. The reversal of 112112020012122 is 221210020211211.

112112020012122 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 junction number, because it is equal to n+sod(n) for n = 112112020012095 and 112112020012104.

It is not an unprimeable number, because it can be changed into a prime (112112020012127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126105879 + ... + 126991797.

It is an arithmetic number, because the mean of its divisors is an integer number (2126473776000).

Almost surely, 2^{112112020012122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112112020012122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136094321664000).

112112020012122 is an abundant number, since it is smaller than the sum of its proper divisors (160076623315878).

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

112112020012122 is a wasteful number, since it uses less digits than its factorization.

112112020012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888553 (or 888547 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112112020012122 its reverse (221210020211211), we get a palindrome (333322040223333).

The spelling of 112112020012122 in words is "one hundred twelve trillion, one hundred twelve billion, twenty million, twelve thousand, one hundred twenty-two".