12719487140721 has 45 divisors (see below), whose sum is σ = 19097049233691. Its totient is φ = 8436882224448.

The previous prime is 12719487140693. The next prime is 12719487140797. The reversal of 12719487140721 is 12704178491721.

The square root of 12719487140721 is 3566439.

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

12719487140721 is a `hidden beast` number, since 1 + 2 + 7 + 19 + 487 + 140 + 7 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6445784711025 + 6273702429696 = 2538855^2 + 2504736^2 .

It is not a de Polignac number, because 12719487140721 - 2³⁹ = 12169731326833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12719487190721) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7157842185 + ... + 7157843961.

Almost surely, 2^{12719487140721} is an apocalyptic number.

12719487140721 is the 3566439-th square number.

12719487140721 is the 1783220-th centered octagonal number.

It is an amenable number.

12719487140721 is a deficient number, since it is larger than the sum of its proper divisors (6377562092970).

12719487140721 is an frugal number, since it uses more digits than its factorization.

12719487140721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The spelling of 12719487140721 in words is "twelve trillion, seven hundred nineteen billion, four hundred eighty-seven million, one hundred forty thousand, seven hundred twenty-one".