12821212800 has 288 divisors, whose sum is σ = 49909260960. Its totient is φ = 3108096000.

The previous prime is 12821212783. The next prime is 12821212829. The reversal of 12821212800 is 821212821.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 296565 + ... + 337035.

It is an arithmetic number, because the mean of its divisors is an integer number (173296045).

Almost surely, 2^12821212800 is an apocalyptic number.

12821212800 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 12821212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24954630480).

12821212800 is an abundant number, since it is smaller than the sum of its proper divisors (37088048160).

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

12821212800 is a wasteful number, since it uses less digits than its factorization.

12821212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40512 (or 40492 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 12821212800 in words is "twelve billion, eight hundred twenty-one million, two hundred twelve thousand, eight hundred".