12828848947200 has 2280 divisors, whose sum is σ = 56166111336720. Its totient is φ = 2870791372800.

The previous prime is 12828848947181. The next prime is 12828848947219. The reversal of 12828848947200 is 274984882821.

12828848947200 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 8 + 84 + 89 + 472 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12828848947181) and next prime (12828848947219).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 986834534394 + ... + 986834534406.

Almost surely, 2^{12828848947200} is an apocalyptic number.

12828848947200 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 12828848947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28083055668360).

12828848947200 is an abundant number, since it is smaller than the sum of its proper divisors (43337262389520).

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

12828848947200 is an frugal number, since it uses more digits than its factorization.

12828848947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 12828848947200 in words is "twelve trillion, eight hundred twenty-eight billion, eight hundred forty-eight million, nine hundred forty-seven thousand, two hundred".