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12132 = 2232337
BaseRepresentation
bin10111101100100
3121122100
42331210
5342012
6132100
750241
oct27544
917570
1012132
11912a
127030
1356a3
1445c8
1538dc
hex2f64

12132 has 18 divisors (see below), whose sum is σ = 30758. Its totient is φ = 4032.

The previous prime is 12119. The next prime is 12143. The reversal of 12132 is 23121.

Adding to 12132 its reverse (23121), we get a palindrome (35253).

It can be divided in two parts, 121 and 32, that added together give a triangular number (153 = T17).

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9216 + 2916 = 96^2 + 54^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (9).

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.

12132 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133 + ... + 204.

212132 is an apocalyptic number.

12132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12132 is an abundant number, since it is smaller than the sum of its proper divisors (18626).

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

12132 is a wasteful number, since it uses less digits than its factorization.

12132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 342 counting only the distinct ones).

The product of its digits is 12, while the sum is 9.

The square root of 12132 is about 110.1453585041. The cubic root of 12132 is about 22.9779246286.

The spelling of 12132 in words is "twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 337 674 1011 1348 2022 3033 4044 6066 12132