Search a number
BaseRepresentation
bin11000001010100
3121222020
43001110
5343442
6133140
751033
oct30124
917866
1012372
119328
1271b0
135829
14471a
1539ec
hex3054

12372 has 12 divisors (see below), whose sum is σ = 28896. Its totient is φ = 4120.

The previous prime is 12347. The next prime is 12373. The reversal of 12372 is 27321.

Adding to 12372 its reverse (27321), we get a palindrome (39693).

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12372.

It is not an unprimeable number, because it can be changed into a prime (12373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 504 + ... + 527.

It is an arithmetic number, because the mean of its divisors is an integer number (2408).

212372 is an apocalyptic number.

12372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12372 is an abundant number, since it is smaller than the sum of its proper divisors (16524).

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 (14448).

12372 is a wasteful number, since it uses less digits than its factorization.

12372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1036 counting only the distinct ones).

The product of its digits is 84, while the sum is 15.

The square root of 12372 is about 111.2294924919. The cubic root of 12372 is about 23.1284557777.

The spelling of 12372 in words is "twelve thousand, three hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 12 1031 2062 3093 4124 6186 12372