12681288 has 24 divisors (see below), whose sum is σ = 34345350. Its totient is φ = 4227072.

The previous prime is 12681247. The next prime is 12681289. The reversal of 12681288 is 88218621.

It can be written as a sum of positive squares in only one way, i.e., 9998244 + 2683044 = 3162^2 + 1638^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12681289) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87993 + ... + 88136.

Almost surely, 2^12681288 is an apocalyptic number.

12681288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12681288 is an abundant number, since it is smaller than the sum of its proper divisors (21664062).

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

12681288 is a wasteful number, since it uses less digits than its factorization.

12681288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176141 (or 176134 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 12681288 is about 3561.0796115785. The cubic root of 12681288 is about 233.1960135324.

It can be divided in two parts, 1268 and 1288, that added together give a triangular number (2556 = T₇₁).

The spelling of 12681288 in words is "twelve million, six hundred eighty-one thousand, two hundred eighty-eight".