12288432 has 80 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 3691776.

The previous prime is 12288427. The next prime is 12288439. The reversal of 12288432 is 23488221.

12288432 = T₁₆₄₈ + T₁₆₄₉ + ... + T₁₆₅₆.

It is a super-2 number, since 2×12288432² = 302011122037248, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12288432.

It is not an unprimeable number, because it can be changed into a prime (12288439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29119 + ... + 29537.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 2^12288432 is an apocalyptic number.

12288432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12288432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

12288432 is an abundant number, since it is smaller than the sum of its proper divisors (22709328).

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

12288432 is a wasteful number, since it uses less digits than its factorization.

12288432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 484 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 12288432 is about 3505.4859862792. The cubic root of 12288432 is about 230.7626354354.

It can be divided in two parts, 12288 and 432, that multiplied together give a 4-th power (5308416 = 48⁴).

The spelling of 12288432 in words is "twelve million, two hundred eighty-eight thousand, four hundred thirty-two".