12288 has 26 divisors (see below), whose sum is σ = 32764. Its totient is φ = 4096.

The previous prime is 12281. The next prime is 12289. The reversal of 12288 is 88221.

It is a Jordan-Polya number, since it can be written as 4! ⋅ (2!)^{9}.

12288 is nontrivially palindromic in base 15.

It is an ABA number since it can be written as A⋅B^{A}, here for A=3, B=16.

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 plaindrome in base 10 and base 14.

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (12281) by changing a digit.

12288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 12288 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4095 + 4096 + 4097.

12288 is a Friedman number, since it can be written as (8*8)^2*(2+1), using all its digits and the basic arithmetic operations.

2^{12288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16382).

12288 is an abundant number, since it is smaller than the sum of its proper divisors (20476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12288 is an frugal number, since it uses more digits than its factorization.

12288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27 (or 5 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

The square root of 12288 is about 110.8512516844. The cubic root of 12288 is about 23.0759931249.

Adding to 12288 its product of digits (256), we get a square (12544 = 112^{2}).

It can be divided in two parts, 122 and 88, that added together give a triangular number (210 = T_{20}).

The spelling of 12288 in words is "twelve thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 12288

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