12671082665472 has 1280 divisors, whose sum is σ = 44622497120256. Its totient is φ = 3099672576000.

The previous prime is 12671082665471. The next prime is 12671082665477. The reversal of 12671082665472 is 27456628017621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12671082665471) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38281216347 + ... + 38281216677.

Almost surely, 2^{12671082665472} is an apocalyptic number.

12671082665472 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 12671082665472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22311248560128).

12671082665472 is an abundant number, since it is smaller than the sum of its proper divisors (31951414454784).

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

12671082665472 is a wasteful number, since it uses less digits than its factorization.

12671082665472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 12671082665472 in words is "twelve trillion, six hundred seventy-one billion, eighty-two million, six hundred sixty-five thousand, four hundred seventy-two".