12816000 has 192 divisors, whose sum is σ = 46542600. Its totient is φ = 3379200.

The previous prime is 12815969. The next prime is 12816017. The reversal of 12816000 is 61821.

It can be written as a sum of positive squares in 4 ways, for example, as 2005056 + 10810944 = 1416^2 + 3288^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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, 143956 + ... + 144044.

Almost surely, 2^12816000 is an apocalyptic number.

12816000 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 12816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23271300).

12816000 is an abundant number, since it is smaller than the sum of its proper divisors (33726600).

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

12816000 is an equidigital number, since it uses as much as digits as its factorization.

12816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 12816000 is about 3579.9441336423. The cubic root of 12816000 is about 234.0188457318.

Adding to 12816000 its reverse (61821), we get a palindrome (12877821).

The spelling of 12816000 in words is "twelve million, eight hundred sixteen thousand".