111111111116112 has 40 divisors (see below), whose sum is σ = 289719626194656. Its totient is φ = 36690896503936.

The previous prime is 111111111116111. The next prime is 111111111116183. The reversal of 111111111116112 is 211611111111111.

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 not an unprimeable number, because it can be changed into a prime (111111111116111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10816886523 + ... + 10816896794.

Almost surely, 2^{111111111116112} is an apocalyptic number.

111111111116112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111111111116112 is an abundant number, since it is smaller than the sum of its proper divisors (178608515078544).

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

111111111116112 is a wasteful number, since it uses less digits than its factorization.

111111111116112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21633783435 (or 21633783429 counting only the distinct ones).

The product of its digits is 12, while the sum is 21.

Adding to 111111111116112 its reverse (211611111111111), we get a palindrome (322722222227223).

The spelling of 111111111116112 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred eleven million, one hundred sixteen thousand, one hundred twelve".