111110112 has 72 divisors (see below), whose sum is σ = 324540216. Its totient is φ = 36032256.

The previous prime is 111110093. The next prime is 111110143. The reversal of 111110112 is 211011111.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111110094 and 111110103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5443 + ... + 15869.

It is an arithmetic number, because the mean of its divisors is an integer number (4507503).

Almost surely, 2^111110112 is an apocalyptic number.

111110112 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 111110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162270108).

111110112 is an abundant number, since it is smaller than the sum of its proper divisors (213430104).

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

111110112 is a wasteful number, since it uses less digits than its factorization.

111110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10480 (or 10469 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

The square root of 111110112 is about 10540.8781417869. The cubic root of 111110112 is about 480.7484157972.

Adding to 111110112 its reverse (211011111), we get a palindrome (322121223).

Subtracting 111110112 from its reverse (211011111), we obtain a palindrome (99900999).

The spelling of 111110112 in words is "one hundred eleven million, one hundred ten thousand, one hundred twelve".