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BaseRepresentation
bin10111101010000
3121121121
42331100
5341422
6132024
750212
oct27520
917547
1012112
119111
127014
135689
1445b2
1538c7
hex2f50

12112 has 10 divisors (see below), whose sum is σ = 23498. Its totient is φ = 6048.

The previous prime is 12109. The next prime is 12113. The reversal of 12112 is 21121.

Adding to 12112 its reverse (21121), we get a palindrome (33233).

Subtracting 12112 from its reverse (21121), we obtain a palindrome (9009).

12112 is nontrivially palindromic in base 3.

12112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10816 + 1296 = 104^2 + 36^2 .

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 plaindrome in base 13.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 12095 and 12104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12113) 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 as a sum of consecutive naturals, namely, 363 + ... + 394.

212112 is an apocalyptic number.

It is an amenable number.

12112 is a deficient number, since it is larger than the sum of its proper divisors (11386).

12112 is an equidigital number, since it uses as much as digits as its factorization.

12112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 759 counting only the distinct ones).

The product of its digits is 4, while the sum is 7.

The square root of 12112 is about 110.0545319376. The cubic root of 12112 is about 22.9652910629.

The spelling of 12112 in words is "twelve thousand, one hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 8 16 757 1514 3028 6056 12112