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12712 = 237227
BaseRepresentation
bin11000110101000
3122102211
43012220
5401322
6134504
752030
oct30650
918384
1012712
119607
127434
135a2b
1448c0
153b77
hex31a8

12712 has 16 divisors (see below), whose sum is σ = 27360. Its totient is φ = 5424.

The previous prime is 12703. The next prime is 12713. The reversal of 12712 is 21721.

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 junction number, because it is equal to n+sod(n) for n = 12692 and 12701.

It is not an unprimeable number, because it can be changed into a prime (12713) by changing a digit.

12712 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 3 ways as a sum of consecutive naturals, for example, 58 + ... + 169.

It is an arithmetic number, because the mean of its divisors is an integer number (1710).

212712 is an apocalyptic number.

It is an amenable number.

12712 is an abundant number, since it is smaller than the sum of its proper divisors (14648).

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 (13680).

12712 is a wasteful number, since it uses less digits than its factorization.

12712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 236 counting only the distinct ones).

The product of its digits is 28, while the sum is 13.

The square root of 12712 is about 112.7475055156. The cubic root of 12712 is about 23.3384115931.

12712 divided by its product of digits (28) gives a palindrome (454).

Subtracting 12712 from its reverse (21721), we obtain a palindrome (9009).

The spelling of 12712 in words is "twelve thousand, seven hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 7 8 14 28 56 227 454 908 1589 1816 3178 6356 12712