111431112 has 128 divisors (see below), whose sum is σ = 318366720. Its totient is φ = 32256000.

The previous prime is 111431077. The next prime is 111431129. The reversal of 111431112 is 211134111.

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 junction number, because it is equal to n+sod(n) for n = 111431091 and 111431100.

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, 396412 + ... + 396692.

It is an arithmetic number, because the mean of its divisors is an integer number (2487240).

Almost surely, 2^111431112 is an apocalyptic number.

111431112 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 111431112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159183360).

111431112 is an abundant number, since it is smaller than the sum of its proper divisors (206935608).

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

111431112 is a wasteful number, since it uses less digits than its factorization.

111431112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 371 counting only the distinct ones).

The product of its digits is 24, while the sum is 15.

The square root of 111431112 is about 10556.0935956442. The cubic root of 111431112 is about 481.2109355596.

Adding to 111431112 its reverse (211134111), we get a palindrome (322565223).

The spelling of 111431112 in words is "one hundred eleven million, four hundred thirty-one thousand, one hundred twelve".