12821724500 has 96 divisors (see below), whose sum is σ = 30435044640. Its totient is φ = 4690483200.

The previous prime is 12821724401. The next prime is 12821724511. The reversal of 12821724500 is 542712821.

It can be written as a sum of positive squares in 16 ways, for example, as 11904119236 + 917605264 = 109106^2 + 30292^2 .

It is a super-5 number, since 5×12821724500⁵ (a number of 52 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699452 + ... + 717548.

It is an arithmetic number, because the mean of its divisors is an integer number (317031715).

Almost surely, 2^12821724500 is an apocalyptic number.

12821724500 is a gapful number since it is divisible by the number (10) 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 12821724500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15217522320).

12821724500 is an abundant number, since it is smaller than the sum of its proper divisors (17613320140).

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

12821724500 is a wasteful number, since it uses less digits than its factorization.

12821724500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18238 (or 18226 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The spelling of 12821724500 in words is "twelve billion, eight hundred twenty-one million, seven hundred twenty-four thousand, five hundred".