112111111121112 has 128 divisors (see below), whose sum is σ = 327882861120000. Its totient is φ = 35395668551808.

The previous prime is 112111111121059. The next prime is 112111111121147. The reversal of 112111111121112 is 211121111111211.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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, 15523458 + ... + 21568494.

It is an arithmetic number, because the mean of its divisors is an integer number (2561584852500).

Almost surely, 2^{112111111121112} is an apocalyptic number.

112111111121112 is a gapful number since it is divisible by the number (12) 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 112111111121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163941430560000).

112111111121112 is an abundant number, since it is smaller than the sum of its proper divisors (215771749998888).

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

112111111121112 is a wasteful number, since it uses less digits than its factorization.

112111111121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6049590 (or 6049580 counting only the distinct ones).

The product of its digits is 8, while the sum is 18.

Adding to 112111111121112 its reverse (211121111111211), we get a palindrome (323232222232323).

Subtracting 112111111121112 from its reverse (211121111111211), we obtain a palindrome (99009999990099).

The spelling of 112111111121112 in words is "one hundred twelve trillion, one hundred eleven billion, one hundred eleven million, one hundred twenty-one thousand, one hundred twelve".