12144384 has 144 divisors (see below), whose sum is σ = 41207040. Its totient is φ = 3456000.

The previous prime is 12144371. The next prime is 12144389. The reversal of 12144384 is 48344121.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48259 + ... + 48509.

It is an arithmetic number, because the mean of its divisors is an integer number (286160).

Almost surely, 2^12144384 is an apocalyptic number.

12144384 is a gapful number since it is divisible by the number (14) 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 12144384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20603520).

12144384 is an abundant number, since it is smaller than the sum of its proper divisors (29062656).

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

12144384 is an equidigital number, since it uses as much as digits as its factorization.

12144384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 263 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 12144384 is about 3484.8793379398. The cubic root of 12144384 is about 229.8574037344.

The spelling of 12144384 in words is "twelve million, one hundred forty-four thousand, three hundred eighty-four".