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12881 = 111171
BaseRepresentation
bin11001001010001
3122200002
43021101
5403011
6135345
752361
oct31121
918602
1012881
119750
127555
135b2b
1449a1
153c3b
hex3251

12881 has 4 divisors (see below), whose sum is σ = 14064. Its totient is φ = 11700.

The previous prime is 12853. The next prime is 12889. The reversal of 12881 is 18821.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12881 is a prime.

It is a super-2 number, since 2×128812 = 331840322, which contains 22 as substring.

It is a pancake number, because a pancake can be divided into 12881 parts by 160 straight cuts.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 11 and base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12881.

It is not an unprimeable number, because it can be changed into a prime (12889) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 575 + ... + 596.

It is an arithmetic number, because the mean of its divisors is an integer number (3516).

212881 is an apocalyptic number.

12881 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12881 is a deficient number, since it is larger than the sum of its proper divisors (1183).

12881 is a wasteful number, since it uses less digits than its factorization.

12881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182.

The product of its digits is 128, while the sum is 20.

The square root of 12881 is about 113.4944932585. The cubic root of 12881 is about 23.4413809869.

It can be divided in two parts, 1 and 2881, that added together give a palindrome (2882).

The spelling of 12881 in words is "twelve thousand, eight hundred eighty-one".

Divisors: 1 11 1171 12881