12816132224 has 64 divisors (see below), whose sum is σ = 29968301760. Its totient is φ = 5344164864.

The previous prime is 12816132223. The next prime is 12816132257. The reversal of 12816132224 is 42223161821.

12816132224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (12816132223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160142 + ... + 226445.

It is an arithmetic number, because the mean of its divisors is an integer number (468254715).

Almost surely, 2^12816132224 is an apocalyptic number.

12816132224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12816132224 is an abundant number, since it is smaller than the sum of its proper divisors (17152169536).

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

12816132224 is an equidigital number, since it uses as much as digits as its factorization.

12816132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386645 (or 386633 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The spelling of 12816132224 in words is "twelve billion, eight hundred sixteen million, one hundred thirty-two thousand, two hundred twenty-four".