12882228821 has 36 divisors (see below), whose sum is σ = 16542348480. Its totient is φ = 9995000400.

The previous prime is 12882228797. The next prime is 12882228869.

12882228821 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-12882228821 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12882228521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1412486 + ... + 1421576.

It is an arithmetic number, because the mean of its divisors is an integer number (459509680).

Almost surely, 2^12882228821 is an apocalyptic number.

12882228821 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12882228821 is a deficient number, since it is larger than the sum of its proper divisors (3660119659).

12882228821 is a wasteful number, since it uses less digits than its factorization.

12882228821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9366 (or 9348 counting only the distinct ones).

The product of its digits is 131072, while the sum is 44.

The spelling of 12882228821 in words is "twelve billion, eight hundred eighty-two million, two hundred twenty-eight thousand, eight hundred twenty-one".