111112 has 32 divisors (see below), whose sum is σ = 237600. Its totient is φ = 48384.

The previous prime is 111109. The next prime is 111119. The reversal of 111112 is 211111.

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 magnanimous number.

It is a plaindrome in base 10.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 111095 and 111104.

It is not an unprimeable number, because it can be changed into a prime (111119) 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, 2563 + ... + 2605.

It is an arithmetic number, because the mean of its divisors is an integer number (7425).

2¹¹¹¹¹² is an apocalyptic number.

It is an amenable number.

111112 is an abundant number, since it is smaller than the sum of its proper divisors (126488).

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

111112 is a wasteful number, since it uses less digits than its factorization.

111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 81 counting only the distinct ones).

The product of its digits is 2, while the sum is 7.

The square root of 111112 is about 333.3346666640. The cubic root of 111112 is about 48.0751138765.

Adding to 111112 its reverse (211111), we get a palindrome (322223).

Subtracting 111112 from its reverse (211111), we obtain a palindrome (99999).

Multiplying 111112 by its reverse (211111), we get a palindrome (23456965432).

It can be divided in two parts, 11111 and 2, that multiplied together give a palindrome (22222).

The spelling of 111112 in words is "one hundred eleven thousand, one hundred twelve", and thus it is an iban number.