12820752000 has 1152 divisors, whose sum is σ = 56595801600. Its totient is φ = 2767564800.

The previous prime is 12820751987. The next prime is 12820752001. The reversal of 12820752000 is 25702821.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (12820752001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 162287961 + ... + 162288039.

It is an arithmetic number, because the mean of its divisors is an integer number (49128300).

Almost surely, 2^12820752000 is an apocalyptic number.

12820752000 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 12820752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28297900800).

12820752000 is an abundant number, since it is smaller than the sum of its proper divisors (43775049600).

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

12820752000 is a wasteful number, since it uses less digits than its factorization.

12820752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 12820752000 in words is "twelve billion, eight hundred twenty million, seven hundred fifty-two thousand".