12821390208 has 480 divisors, whose sum is σ = 44331229800. Its totient is φ = 3647324160.

The previous prime is 12821390189. The next prime is 12821390221. The reversal of 12821390208 is 80209312821.

12821390208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 32959678 + ... + 32960066.

Almost surely, 2^12821390208 is an apocalyptic number.

12821390208 is a gapful number since it is divisible by the number (18) 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 12821390208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22165614900).

12821390208 is an abundant number, since it is smaller than the sum of its proper divisors (31509839592).

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

12821390208 is a wasteful number, since it uses less digits than its factorization.

12821390208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 12821390208 in words is "twelve billion, eight hundred twenty-one million, three hundred ninety thousand, two hundred eight".