12821211600 has 120 divisors (see below), whose sum is σ = 41346832800. Its totient is φ = 3395996160.

The previous prime is 12821211587. The next prime is 12821211619. The reversal of 12821211600 is 611212821.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 142947 + ... + 214653.

It is an arithmetic number, because the mean of its divisors is an integer number (344556940).

Almost surely, 2^12821211600 is an apocalyptic number.

12821211600 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 12821211600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20673416400).

12821211600 is an abundant number, since it is smaller than the sum of its proper divisors (28525621200).

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

12821211600 is a wasteful number, since it uses less digits than its factorization.

12821211600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71877 (or 71866 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The spelling of 12821211600 in words is "twelve billion, eight hundred twenty-one million, two hundred eleven thousand, six hundred".