12771712144 has 45 divisors (see below), whose sum is σ = 26133691827. Its totient is φ = 6045689952.

The previous prime is 12771712127. The next prime is 12771712183. The reversal of 12771712144 is 44121717721.

The square root of 12771712144 is 113012.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8588169 + ... + 8589655.

Almost surely, 2^12771712144 is an apocalyptic number.

12771712144 is the 113012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12771712144

12771712144 is an abundant number, since it is smaller than the sum of its proper divisors (13361979683).

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

12771712144 is an frugal number, since it uses more digits than its factorization.

12771712144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 1508 counting only the distinct ones).

The product of its digits is 21952, while the sum is 37.

The spelling of 12771712144 in words is "twelve billion, seven hundred seventy-one million, seven hundred twelve thousand, one hundred forty-four".