1272431864511 has 16 divisors (see below), whose sum is σ = 1920651873120. Its totient is φ = 832282476480.

The previous prime is 1272431864507. The next prime is 1272431864521. The reversal of 1272431864511 is 1154681342721.

1272431864511 is a `hidden beast` number, since 1 + 2 + 7 + 24 + 31 + 86 + 4 + 511 = 666.

It is not a de Polignac number, because 1272431864511 - 2² = 1272431864507 is a prime.

It is a super-2 number, since 2×1272431864511² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272431864521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444593910 + ... + 444596771.

It is an arithmetic number, because the mean of its divisors is an integer number (120040742070).

Almost surely, 2^{1272431864511} is an apocalyptic number.

1272431864511 is a deficient number, since it is larger than the sum of its proper divisors (648220008609).

1272431864511 is an equidigital number, since it uses as much as digits as its factorization.

1272431864511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889190743 (or 889190737 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 1272431864511 in words is "one trillion, two hundred seventy-two billion, four hundred thirty-one million, eight hundred sixty-four thousand, five hundred eleven".