12707827441 has 9 divisors (see below), whose sum is σ = 12815710713. Its totient is φ = 12600847620.

The previous prime is 12707827417. The next prime is 12707827459. The reversal of 12707827441 is 14472870721.

The square root of 12707827441 is 112729.

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

It is not a de Polignac number, because 12707827441 - 2¹¹ = 12707825393 is a prime.

It is a super-2 number, since 2×12707827441² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12707827411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15668926 + ... + 15669736.

It is an arithmetic number, because the mean of its divisors is an integer number (1423967857).

Almost surely, 2^12707827441 is an apocalyptic number.

12707827441 is the 112729-th square number.

12707827441 is the 56365-th centered octagonal number.

It is an amenable number.

12707827441 is a deficient number, since it is larger than the sum of its proper divisors (107883272).

12707827441 is an frugal number, since it uses more digits than its factorization.

12707827441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 43.

The spelling of 12707827441 in words is "twelve billion, seven hundred seven million, eight hundred twenty-seven thousand, four hundred forty-one".