288012 has 12 divisors (see below), whose sum is σ = 672056. Its totient is φ = 96000.

The previous prime is 288007. The next prime is 288023. The reversal of 288012 is 210882.

288012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 288012.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288012.

It is an unprimeable number.

288012 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11989 + ... + 12012.

2²⁸⁸⁰¹² is an apocalyptic number.

It is an amenable number.

288012 is an abundant number, since it is smaller than the sum of its proper divisors (384044).

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

288012 is a wasteful number, since it uses less digits than its factorization.

288012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24008 (or 24006 counting only the distinct ones).

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

The square root of 288012 is about 536.6674948234. The cubic root of 288012 is about 66.0394621672.

Adding to 288012 its reverse (210882), we get a palindrome (498894).

The spelling of 288012 in words is "two hundred eighty-eight thousand, twelve".