111134112 has 48 divisors (see below), whose sum is σ = 293987232. Its totient is φ = 36757760.

The previous prime is 111134077. The next prime is 111134123. The reversal of 111134112 is 211431111.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 111134091 and 111134100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8158 + ... + 16994.

It is an arithmetic number, because the mean of its divisors is an integer number (6124734).

Almost surely, 2^111134112 is an apocalyptic number.

111134112 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 111134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146993616).

111134112 is an abundant number, since it is smaller than the sum of its proper divisors (182853120).

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

111134112 is a wasteful number, since it uses less digits than its factorization.

111134112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8981 (or 8973 counting only the distinct ones).

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

The square root of 111134112 is about 10542.0165053940. The cubic root of 111134112 is about 480.7830275025.

Adding to 111134112 its reverse (211431111), we get a palindrome (322565223).

It can be divided in two parts, 11113 and 4112, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 111134112 in words is "one hundred eleven million, one hundred thirty-four thousand, one hundred twelve".