12711 has 8 divisors (see below), whose sum is σ = 17920. Its totient is φ = 7992.

The previous prime is 12703. The next prime is 12713. The reversal of 12711 is 11721.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12711 - 2³ = 12703 is a prime.

It is a Duffinian number.

12711 is a lucky number.

It is a plaindrome in base 14.

It is a nialpdrome in base 12.

It is a congruent number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55 + ... + 168.

It is an arithmetic number, because the mean of its divisors is an integer number (2240).

2¹²⁷¹¹ is an apocalyptic number.

12711 is a deficient number, since it is larger than the sum of its proper divisors (5209).

12711 is a wasteful number, since it uses less digits than its factorization.

12711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245.

The product of its digits is 14, while the sum is 12.

The square root of 12711 is about 112.7430707405. The cubic root of 12711 is about 23.3377995986.

Subtracting from 12711 its reverse (11721), we obtain a triangular number (990 = T₄₄).

The spelling of 12711 in words is "twelve thousand, seven hundred eleven", and thus it is an iban number.