12920328000 has 336 divisors, whose sum is σ = 46586729280. Its totient is φ = 3417984000.

The previous prime is 12920327999. The next prime is 12920328017. The reversal of 12920328000 is 82302921.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10007355 + ... + 10008645.

It is an arithmetic number, because the mean of its divisors is an integer number (138650980).

Almost surely, 2^12920328000 is an apocalyptic number.

12920328000 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 12920328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23293364640).

12920328000 is an abundant number, since it is smaller than the sum of its proper divisors (33666401280).

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

12920328000 is a wasteful number, since it uses less digits than its factorization.

12920328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 12920328000 in words is "twelve billion, nine hundred twenty million, three hundred twenty-eight thousand".