126266345271 has 24 divisors (see below), whose sum is σ = 199391272704. Its totient is φ = 76361164560.

The previous prime is 126266345263. The next prime is 126266345279. The reversal of 126266345271 is 172543662621.

126266345271 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 6 + 634 + 5 + 2 + 7 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (126266345263) and next prime (126266345279).

It is not a de Polignac number, because 126266345271 - 2³ = 126266345263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126266345279) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1319311 + ... + 1411776.

It is an arithmetic number, because the mean of its divisors is an integer number (8307969696).

Almost surely, 2^126266345271 is an apocalyptic number.

126266345271 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

126266345271 is a deficient number, since it is larger than the sum of its proper divisors (73124927433).

126266345271 is a wasteful number, since it uses less digits than its factorization.

126266345271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731571 (or 2731568 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 126266345271 in words is "one hundred twenty-six billion, two hundred sixty-six million, three hundred forty-five thousand, two hundred seventy-one".