12847920019200 has 3456 divisors, whose sum is σ = 60330638592000. Its totient is φ = 2608555622400.

The previous prime is 12847920019141. The next prime is 12847920019213. The reversal of 12847920019200 is 291002974821.

12847920019200 is a `hidden beast` number, since 128 + 479 + 20 + 0 + 19 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24660114940 + ... + 24660115460.

It is an arithmetic number, because the mean of its divisors is an integer number (17456782000).

Almost surely, 2^{12847920019200} is an apocalyptic number.

12847920019200 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 12847920019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30165319296000).

12847920019200 is an abundant number, since it is smaller than the sum of its proper divisors (47482718572800).

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

12847920019200 is a wasteful number, since it uses less digits than its factorization.

12847920019200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 12847920019200 in words is "twelve trillion, eight hundred forty-seven billion, nine hundred twenty million, nineteen thousand, two hundred".