11123112 has 128 divisors (see below), whose sum is σ = 37416960. Its totient is φ = 2661120.

The previous prime is 11123107. The next prime is 11123129. The reversal of 11123112 is 21132111.

11123112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23793 + ... + 24255.

It is an arithmetic number, because the mean of its divisors is an integer number (292320).

Almost surely, 2^11123112 is an apocalyptic number.

11123112 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 11123112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18708480).

11123112 is an abundant number, since it is smaller than the sum of its proper divisors (26293848).

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

11123112 is a wasteful number, since it uses less digits than its factorization.

11123112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 499 counting only the distinct ones).

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

The square root of 11123112 is about 3335.1329808570. The cubic root of 11123112 is about 223.2246256921.

Adding to 11123112 its reverse (21132111), we get a palindrome (32255223).

It can be divided in two parts, 1112 and 3112, that added together give a palindrome (4224).

The spelling of 11123112 in words is "eleven million, one hundred twenty-three thousand, one hundred twelve".