12816400000001 has 16 divisors (see below), whose sum is σ = 14628489413328. Its totient is φ = 11123704166400.

The previous prime is 12816399999941. The next prime is 12816400000031. The reversal of 12816400000001 is 10000000461821.

It is a Cunningham number, because it is equal to 3580000²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 1 + 12816400000000 = 1^2 + 3580000^2 .

It is not a de Polignac number, because 12816400000001 - 2¹⁴ = 12816399983617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12816400000031) 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, 28174340 + ... + 28625621.

It is an arithmetic number, because the mean of its divisors is an integer number (914280588333).

Almost surely, 2^{12816400000001} is an apocalyptic number.

It is an amenable number.

12816400000001 is a deficient number, since it is larger than the sum of its proper divisors (1812089413327).

12816400000001 is a wasteful number, since it uses less digits than its factorization.

12816400000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56801012.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 12816400000001 its reverse (10000000461821), we get a palindrome (22816400461822).

The spelling of 12816400000001 in words is "twelve trillion, eight hundred sixteen billion, four hundred million, one", and thus it is an aban number.