12821600 has 144 divisors (see below), whose sum is σ = 35997696. Its totient is φ = 4416000.

The previous prime is 12821581. The next prime is 12821617. The reversal of 12821600 is 612821.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272777 + ... + 272823.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 2^12821600 is an apocalyptic number.

12821600 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 12821600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998848).

12821600 is an abundant number, since it is smaller than the sum of its proper divisors (23176096).

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

12821600 is a wasteful number, since it uses less digits than its factorization.

12821600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 12821600 is about 3580.7261833321. The cubic root of 12821600 is about 234.0529259104.

It can be divided in two parts, 1282 and 1600, that added together give a palindrome (2882).

The spelling of 12821600 in words is "twelve million, eight hundred twenty-one thousand, six hundred".