12871317312 has 504 divisors, whose sum is σ = 45592959360. Its totient is φ = 3527193600.

The previous prime is 12871317233. The next prime is 12871317353. The reversal of 12871317312 is 21371317821.

It is a happy number.

12871317312 is a `hidden beast` number, since 1 + 28 + 7 + 1 + 317 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85240437 + ... + 85240587.

Almost surely, 2^12871317312 is an apocalyptic number.

12871317312 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 12871317312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22796479680).

12871317312 is an abundant number, since it is smaller than the sum of its proper divisors (32721642048).

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

12871317312 is an frugal number, since it uses more digits than its factorization.

12871317312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 192 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The spelling of 12871317312 in words is "twelve billion, eight hundred seventy-one million, three hundred seventeen thousand, three hundred twelve".