12873680531712 has 3888 divisors, whose sum is σ = 56540862443520. Its totient is φ = 2829817036800.

The previous prime is 12873680531687. The next prime is 12873680531713. The reversal of 12873680531712 is 21713508637821.

12873680531712 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 36 + 8 + 0 + 531 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12873680531713) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 415280017137 + ... + 415280017167.

Almost surely, 2^{12873680531712} is an apocalyptic number.

12873680531712 is a gapful number since it is divisible by the number (12) 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 12873680531712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28270431221760).

12873680531712 is an abundant number, since it is smaller than the sum of its proper divisors (43667181911808).

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

12873680531712 is an equidigital number, since it uses as much as digits as its factorization.

12873680531712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 12873680531712 in words is "twelve trillion, eight hundred seventy-three billion, six hundred eighty million, five hundred thirty-one thousand, seven hundred twelve".