12711311721 has 16 divisors (see below), whose sum is σ = 19650337920. Its totient is φ = 8105763600.

The previous prime is 12711311719. The next prime is 12711311729.

12711311721 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12711311721 - 2¹ = 12711311719 is a prime.

It is a super-4 number, since 4×12711311721⁴ (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12711311729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10233930 + ... + 10235171.

It is an arithmetic number, because the mean of its divisors is an integer number (1228146120).

Almost surely, 2^12711311721 is an apocalyptic number.

It is an amenable number.

12711311721 is a deficient number, since it is larger than the sum of its proper divisors (6939026199).

12711311721 is a wasteful number, since it uses less digits than its factorization.

12711311721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20469133 (or 20469127 counting only the distinct ones).

The product of its digits is 588, while the sum is 27.

The spelling of 12711311721 in words is "twelve billion, seven hundred eleven million, three hundred eleven thousand, seven hundred twenty-one".