12821760000 has 960 divisors, whose sum is σ = 55264809600. Its totient is φ = 2875392000.

The previous prime is 12821759983. The next prime is 12821760001. The reversal of 12821760000 is 6712821.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12821760001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 241919974 + ... + 241920026.

It is an arithmetic number, because the mean of its divisors is an integer number (57567510).

Almost surely, 2^12821760000 is an apocalyptic number.

12821760000 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 12821760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27632404800).

12821760000 is an abundant number, since it is smaller than the sum of its proper divisors (42443049600).

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

12821760000 is an frugal number, since it uses more digits than its factorization.

12821760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 12821760000 in words is "twelve billion, eight hundred twenty-one million, seven hundred sixty thousand".