12724709127 has 32 divisors (see below), whose sum is σ = 19277932800. Its totient is φ = 7401134592.

The previous prime is 12724709087. The next prime is 12724709131. The reversal of 12724709127 is 72190742721.

It is not a de Polignac number, because 12724709127 - 2¹⁵ = 12724676359 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12724709177) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301024 + ... + 340682.

It is an arithmetic number, because the mean of its divisors is an integer number (602435400).

Almost surely, 2^12724709127 is an apocalyptic number.

12724709127 is a deficient number, since it is larger than the sum of its proper divisors (6553223673).

12724709127 is a wasteful number, since it uses less digits than its factorization.

12724709127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40127.

The product of its (nonzero) digits is 98784, while the sum is 42.

The spelling of 12724709127 in words is "twelve billion, seven hundred twenty-four million, seven hundred nine thousand, one hundred twenty-seven".