12821952000 has 640 divisors, whose sum is σ = 50189787648. Its totient is φ = 2863104000.

The previous prime is 12821951999. The next prime is 12821952037. The reversal of 12821952000 is 25912821.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27455767 + ... + 27456233.

Almost surely, 2^12821952000 is an apocalyptic number.

12821952000 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 12821952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25094893824).

12821952000 is an abundant number, since it is smaller than the sum of its proper divisors (37367835648).

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

12821952000 is a wasteful number, since it uses less digits than its factorization.

12821952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 12821952000 in words is "twelve billion, eight hundred twenty-one million, nine hundred fifty-two thousand".