11112 has 16 divisors (see below), whose sum is σ = 27840. Its totient is φ = 3696.

The previous prime is 11093. The next prime is 11113. The reversal of 11112 is 21111.

11112 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 (6).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisibly by the product of its digits.

It is an insolite number, because it is divisible by the sum (8) and by the product (4) of the squares of its digits.

It is a plaindrome in base 10 and base 15.

It is a nialpdrome in base 12.

It is a self number, because there is not a number *n* which added to its sum of digits gives 11112.

It is not an unprimeable number, because it can be changed into a prime (11113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 208 + ... + 255.

It is an arithmetic number, because the mean of its divisors is an integer number (1740).

2^{11112} is an apocalyptic number.

11112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11112 is an abundant number, since it is smaller than the sum of its proper divisors (16728).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13920).

11112 is a wasteful number, since it uses less digits than its factorization.

11112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 468 counting only the distinct ones).

The product of its digits is 2, while the sum is 6.

The square root of 11112 is about 105.4134716248. The cubic root of 11112 is about 22.3150267050.

The spelling of 11112 in words is "eleven thousand, one hundred twelve", and is thus an iban number.

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