12882122496 has 144 divisors (see below), whose sum is σ = 38720473120. Its totient is φ = 4223508480.

The previous prime is 12882122489. The next prime is 12882122527. The reversal of 12882122496 is 69422128821.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406356 + ... + 436908.

Almost surely, 2^12882122496 is an apocalyptic number.

12882122496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12882122496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19360236560).

12882122496 is an abundant number, since it is smaller than the sum of its proper divisors (25838350624).

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

12882122496 is an equidigital number, since it uses as much as digits as its factorization.

12882122496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30639 (or 30619 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 12882122496 in words is "twelve billion, eight hundred eighty-two million, one hundred twenty-two thousand, four hundred ninety-six".