12384800 has 72 divisors (see below), whose sum is σ = 30724596. Its totient is φ = 4874240.

The previous prime is 12384797. The next prime is 12384803. The reversal of 12384800 is 848321.

12384800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12384797) and next prime (12384803).

It can be written as a sum of positive squares in 6 ways, for example, as 1547536 + 10837264 = 1244^2 + 3292^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12384800.

It is not an unprimeable number, because it can be changed into a prime (12384803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90332 + ... + 90468.

Almost surely, 2^12384800 is an apocalyptic number.

12384800 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 12384800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15362298).

12384800 is an abundant number, since it is smaller than the sum of its proper divisors (18339796).

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

12384800 is a wasteful number, since it uses less digits than its factorization.

12384800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 12384800 is about 3519.2044555553. The cubic root of 12384800 is about 231.3642921763.

The spelling of 12384800 in words is "twelve million, three hundred eighty-four thousand, eight hundred".