Adding to 12288 its product of digits (256), we get a square (12544 = 1122).
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⋅BA, here for A=3, B=16.
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.
12288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
In principle, a polygon with 12288 sides can be constructed with ruler and compass.
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.
212288 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).
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 square root of 12288 is about 110.8512516844. The cubic root of 12288 is about 23.0759931249.
The spelling of 12288 in words is "twelve thousand, two hundred eighty-eight".