12047292588241 has 9 divisors (see below), whose sum is σ = 12065789687889. Its totient is φ = 12028823817600.

The previous prime is 12047292588217. The next prime is 12047292588269. The reversal of 12047292588241 is 14288529274021.

The square root of 12047292588241 is 3470921.

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

12047292588241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7421696069841 + 4625596518400 = 2724279^2 + 2150720^2 .

It is not a de Polignac number, because 12047292588241 - 2⁵ = 12047292588209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12047292588281) 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, 2641368601 + ... + 2641373161.

Almost surely, 2^{12047292588241} is an apocalyptic number.

12047292588241 is the 3470921-st square number.

12047292588241 is the 1735461-st centered octagonal number.

It is an amenable number.

12047292588241 is a deficient number, since it is larger than the sum of its proper divisors (18497099648).

12047292588241 is an frugal number, since it uses more digits than its factorization.

12047292588241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10644 (or 5322 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 55.

The spelling of 12047292588241 in words is "twelve trillion, forty-seven billion, two hundred ninety-two million, five hundred eighty-eight thousand, two hundred forty-one".