111111112112 has 160 divisors (see below), whose sum is σ = 289556467200. Its totient is φ = 39889244160.

The previous prime is 111111112097. The next prime is 111111112139. The reversal of 111111112112 is 211211111111.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9491639 + ... + 9503337.

It is an arithmetic number, because the mean of its divisors is an integer number (1809727920).

Almost surely, 2^111111112112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111111112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144778233600).

111111112112 is an abundant number, since it is smaller than the sum of its proper divisors (178445355088).

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

111111112112 is a wasteful number, since it uses less digits than its factorization.

111111112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12331 (or 12325 counting only the distinct ones).

The product of its digits is 4, while the sum is 14.

Adding to 111111112112 its reverse (211211111111), we get a palindrome (322322223223).

It can be divided in two parts, 11111111 and 2112, that multiplied together give a palindrome (23466666432).

The spelling of 111111112112 in words is "one hundred eleven billion, one hundred eleven million, one hundred twelve thousand, one hundred twelve".