12727472721 has 8 divisors (see below), whose sum is σ = 16975120800. Its totient is φ = 8482403232.

The previous prime is 12727472711. The next prime is 12727472801.

It is a happy number.

12727472721 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12727472721 - 2¹⁹ = 12726948433 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (12727472711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 633100 + ... + 652893.

It is an arithmetic number, because the mean of its divisors is an integer number (2121890100).

Almost surely, 2^12727472721 is an apocalyptic number.

It is an amenable number.

12727472721 is a deficient number, since it is larger than the sum of its proper divisors (4247648079).

12727472721 is a wasteful number, since it uses less digits than its factorization.

12727472721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289295.

The product of its digits is 153664, while the sum is 42.

The spelling of 12727472721 in words is "twelve billion, seven hundred twenty-seven million, four hundred seventy-two thousand, seven hundred twenty-one".