12304738011721 has 45 divisors (see below), whose sum is σ = 13183357974291. Its totient is φ = 11484517089024.

The previous prime is 12304738011703. The next prime is 12304738011751. The reversal of 12304738011721 is 12711083740321.

It is a happy number.

The square root of 12304738011721 is 3507811.

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

It can be written as a sum of positive squares in 7 ways, for example, as 6180419742025 + 6124318269696 = 2486045^2 + 2474736^2 .

It is not a de Polignac number, because 12304738011721 - 2¹¹ = 12304738009673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12304738011751) 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, 126852969145 + ... + 126852969241.

Almost surely, 2^{12304738011721} is an apocalyptic number.

12304738011721 is the 3507811-st square number.

12304738011721 is the 1753906-th centered octagonal number.

It is an amenable number.

12304738011721 is a deficient number, since it is larger than the sum of its proper divisors (878619962570).

12304738011721 is an frugal number, since it uses more digits than its factorization.

12304738011721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 12304738011721 in words is "twelve trillion, three hundred four billion, seven hundred thirty-eight million, eleven thousand, seven hundred twenty-one".