12821728183200 has 576 divisors, whose sum is σ = 46753507584000. Its totient is φ = 3391043927040.

The previous prime is 12821728183139. The next prime is 12821728183211. The reversal of 12821728183200 is 238182712821.

12821728183200 is a `hidden beast` number, since 1 + 2 + 82 + 17 + 281 + 83 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4380500137 + ... + 4380503063.

It is an arithmetic number, because the mean of its divisors is an integer number (81169284000).

Almost surely, 2^{12821728183200} is an apocalyptic number.

12821728183200 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 12821728183200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23376753792000).

12821728183200 is an abundant number, since it is smaller than the sum of its proper divisors (33931779400800).

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

12821728183200 is a wasteful number, since it uses less digits than its factorization.

12821728183200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4554 (or 4535 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 12821728183200 in words is "twelve trillion, eight hundred twenty-one billion, seven hundred twenty-eight million, one hundred eighty-three thousand, two hundred".