12384000 has 216 divisors, whose sum is σ = 45597552. Its totient is φ = 3225600.

The previous prime is 12383993. The next prime is 12384017. The reversal of 12384000 is 48321.

It is a happy number.

12384000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287979 + ... + 288021.

It is a vampire number, since it can be written as 3000 ⋅ 4128 (with its own digits).

Almost surely, 2^12384000 is an apocalyptic number.

12384000 is a gapful number since it is divisible by the number (10) 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 12384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22798776).

12384000 is an abundant number, since it is smaller than the sum of its proper divisors (33213552).

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

12384000 is an equidigital number, since it uses as much as digits as its factorization.

12384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12384000 is about 3519.0907916676. The cubic root of 12384000 is about 231.3593103863.

The spelling of 12384000 in words is "twelve million, three hundred eighty-four thousand".