1272991041 has 27 divisors (see below), whose sum is σ = 2140231041. Its totient is φ = 726995304.

The previous prime is 1272991033. The next prime is 1272991061. The reversal of 1272991041 is 1401992721.

The square root of 1272991041 is 35679.

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

It is not a de Polignac number, because 1272991041 - 2³ = 1272991033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1272990987 and 1272991005.

It is not an unprimeable number, because it can be changed into a prime (1272991061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 748410 + ... + 750108.

Almost surely, 2^1272991041 is an apocalyptic number.

1272991041 is the 35679-th square number.

1272991041 is the 17840-th centered octagonal number.

It is an amenable number.

1272991041 is a deficient number, since it is larger than the sum of its proper divisors (867240000).

1272991041 is an frugal number, since it uses more digits than its factorization.

1272991041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The cubic root of 1272991041 is about 1083.7816223018.

Multiplying 1272991041 by its sum of digits (36), we get a square (45827677476 = 214074²).

The spelling of 1272991041 in words is "one billion, two hundred seventy-two million, nine hundred ninety-one thousand, forty-one".