12800000821 has 16 divisors (see below), whose sum is σ = 13314970368. Its totient is φ = 12296793600.

The previous prime is 12800000809. The next prime is 12800000869.

12800000821 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12800000821 - 2⁵ = 12800000789 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12800000792 and 12800000801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12800000881) 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, 715101 + ... + 732781.

It is an arithmetic number, because the mean of its divisors is an integer number (832185648).

Almost surely, 2^12800000821 is an apocalyptic number.

It is an amenable number.

12800000821 is a deficient number, since it is larger than the sum of its proper divisors (514969547).

12800000821 is a wasteful number, since it uses less digits than its factorization.

12800000821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18012.

The product of its (nonzero) digits is 256, while the sum is 22.

It can be divided in two parts, 12800000 and 821, that added together give a palindrome (12800821).

The spelling of 12800000821 in words is "twelve billion, eight hundred million, eight hundred twenty-one", and thus it is an aban number.