12730417056841 has 9 divisors (see below), whose sum is σ = 13992980896839. Its totient is φ = 11573070735600.

The previous prime is 12730417056811. The next prime is 12730417056881. The reversal of 12730417056841 is 14865071403721.

The square root of 12730417056841 is 3567971.

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

It can be written as a sum of positive squares in only one way, i.e., 8106712978441 + 4623704078400 = 2847229^2 + 2150280^2 .

It is not a de Polignac number, because 12730417056841 - 2⁵ = 12730417056809 is a prime.

It is a super-2 number, since 2×12730417056841² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12730417056811) 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, 39085501 + ... + 39409861.

Almost surely, 2^{12730417056841} is an apocalyptic number.

12730417056841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12730417056841 is the 3567971-st square number.

12730417056841 is the 1783986-th centered octagonal number.

It is an amenable number.

12730417056841 is a deficient number, since it is larger than the sum of its proper divisors (1262563839998).

12730417056841 is an frugal number, since it uses more digits than its factorization.

12730417056841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648744 (or 324372 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

Multiplying 12730417056841 by its sum of digits (49), we get a square (623790435785209 = 24975797²).

The spelling of 12730417056841 in words is "twelve trillion, seven hundred thirty billion, four hundred seventeen million, fifty-six thousand, eight hundred forty-one".