126972667271709 has 48 divisors (see below), whose sum is σ = 211397062656000. Its totient is φ = 71936475801120.

The previous prime is 126972667271701. The next prime is 126972667271713. The reversal of 126972667271709 is 907172766279621.

126972667271709 is a `hidden beast` number, since 1 + 2 + 6 + 97 + 266 + 7 + 271 + 7 + 0 + 9 = 666.

It is not a de Polignac number, because 126972667271709 - 2³ = 126972667271701 is a prime.

It is a super-2 number, since 2×126972667271709² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126972667271701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6700104 + ... + 17286894.

It is an arithmetic number, because the mean of its divisors is an integer number (4404105472000).

Almost surely, 2^{126972667271709} is an apocalyptic number.

It is an amenable number.

126972667271709 is a deficient number, since it is larger than the sum of its proper divisors (84424395384291).

126972667271709 is a wasteful number, since it uses less digits than its factorization.

126972667271709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10588430 (or 10588427 counting only the distinct ones).

The product of its (nonzero) digits is 336063168, while the sum is 72.

The spelling of 126972667271709 in words is "one hundred twenty-six trillion, nine hundred seventy-two billion, six hundred sixty-seven million, two hundred seventy-one thousand, seven hundred nine".