12384288 has 72 divisors (see below), whose sum is σ = 40255488. Its totient is φ = 3537792.

The previous prime is 12384269. The next prime is 12384289. The reversal of 12384288 is 88248321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 (12384289) 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 11 ways as a sum of consecutive naturals, for example, 1056 + ... + 5087.

It is an arithmetic number, because the mean of its divisors is an integer number (559104).

Almost surely, 2^12384288 is an apocalyptic number.

12384288 is a gapful number since it is divisible by the number (18) 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 12384288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20127744).

12384288 is an abundant number, since it is smaller than the sum of its proper divisors (27871200).

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

12384288 is a wasteful number, since it uses less digits than its factorization.

12384288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6166 (or 6155 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 12384288 is about 3519.1317110901. The cubic root of 12384288 is about 231.3611038554.

The spelling of 12384288 in words is "twelve million, three hundred eighty-four thousand, two hundred eighty-eight".