1272416927717 has 16 divisors (see below), whose sum is σ = 1393141385328. Its totient is φ = 1154966791680.

The previous prime is 1272416927689. The next prime is 1272416927759. The reversal of 1272416927717 is 7177296142721.

It can be written as a sum of positive squares in 8 ways, for example, as 839787127201 + 432629800516 = 916399^2 + 657746^2 .

It is not a de Polignac number, because 1272416927717 - 2¹⁶ = 1272416862181 is a prime.

It is a super-3 number, since 3×1272416927717³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272416927917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2694263 + ... + 3131115.

It is an arithmetic number, because the mean of its divisors is an integer number (87071336583).

Almost surely, 2^{1272416927717} is an apocalyptic number.

It is an amenable number.

1272416927717 is a deficient number, since it is larger than the sum of its proper divisors (120724457611).

1272416927717 is a wasteful number, since it uses less digits than its factorization.

1272416927717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440600.

The product of its digits is 4148928, while the sum is 56.

The spelling of 1272416927717 in words is "one trillion, two hundred seventy-two billion, four hundred sixteen million, nine hundred twenty-seven thousand, seven hundred seventeen".