12816400000000 has 297 divisors, whose sum is σ = 32205250600747. Its totient is φ = 5097920000000.

The previous prime is 12816399999941. The next prime is 12816400000031. The reversal of 12816400000000 is 461821.

The square root of 12816400000000 is 3580000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9112284046336 + 3704115953664 = 3018656^2 + 1924608^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 71599999911 + ... + 71600000089.

Almost surely, 2^{12816400000000} is an apocalyptic number.

12816400000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12816400000000 is the 3580000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12816400000000

12816400000000 is an abundant number, since it is smaller than the sum of its proper divisors (19388850600747).

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

12816400000000 is an frugal number, since it uses more digits than its factorization.

12816400000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 12816400000000 its reverse (461821), we get a palindrome (12816400461821).

The spelling of 12816400000000 in words is "twelve trillion, eight hundred sixteen billion, four hundred million", and thus it is an aban number.