12820417074721 has 9 divisors (see below), whose sum is σ = 12954299833881. Its totient is φ = 12687904092672.

The previous prime is 12820417074653. The next prime is 12820417074767. The reversal of 12820417074721 is 12747071402821.

The square root of 12820417074721 is 3580561.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4837531914721 + 7982885160000 = 2199439^2 + 2825400^2 .

It is not a de Polignac number, because 12820417074721 - 2³⁹ = 12270661260833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12820417074221) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 347295961 + ... + 347332873.

It is an arithmetic number, because the mean of its divisors is an integer number (1439366648209).

Almost surely, 2^{12820417074721} is an apocalyptic number.

12820417074721 is the 3580561-st square number.

12820417074721 is the 1790281-st centered octagonal number.

It is an amenable number.

12820417074721 is a deficient number, since it is larger than the sum of its proper divisors (133882759160).

12820417074721 is an frugal number, since it uses more digits than its factorization.

12820417074721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74020 (or 37010 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 46.

The spelling of 12820417074721 in words is "twelve trillion, eight hundred twenty billion, four hundred seventeen million, seventy-four thousand, seven hundred twenty-one".