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12681 = 321409
BaseRepresentation
bin11000110001001
3122101200
43012021
5401211
6134413
751654
oct30611
918350
1012681
119589
127409
135a06
14489b
153b56
hex3189

12681 has 6 divisors (see below), whose sum is σ = 18330. Its totient is φ = 8448.

The previous prime is 12671. The next prime is 12689. The reversal of 12681 is 18621.

12681 is digitally balanced in base 3, 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., 7056 + 5625 = 84^2 + 75^2 .

It is not a de Polignac number, because 12681 - 27 = 12553 is a prime.

It is a super-2 number, since 2×126812 = 321615522, which contains 22 as substring.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (12689) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 696 + ... + 713.

It is an arithmetic number, because the mean of its divisors is an integer number (3055).

212681 is an apocalyptic number.

It is an amenable number.

12681 is a deficient number, since it is larger than the sum of its proper divisors (5649).

12681 is a wasteful number, since it uses less digits than its factorization.

12681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1412 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 12681 is about 112.6099462747. The cubic root of 12681 is about 23.3194248176.

The spelling of 12681 in words is "twelve thousand, six hundred eighty-one".

Divisors: 1 3 9 1409 4227 12681