12821372928 has 672 divisors, whose sum is σ = 47969424000. Its totient is φ = 3381460992.

The previous prime is 12821372897. The next prime is 12821372939. The reversal of 12821372928 is 82927312821.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 986259450 + ... + 986259462.

Almost surely, 2^12821372928 is an apocalyptic number.

12821372928 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 12821372928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23984712000).

12821372928 is an abundant number, since it is smaller than the sum of its proper divisors (35148051072).

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

12821372928 is an frugal number, since it uses more digits than its factorization.

12821372928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 25 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 12821372928 in words is "twelve billion, eight hundred twenty-one million, three hundred seventy-two thousand, nine hundred twenty-eight".