12126634641 has 81 divisors (see below), whose sum is σ = 19952730889. Its totient is φ = 7091792400.

The previous prime is 12126634607. The next prime is 12126634669. The reversal of 12126634641 is 14643662121.

The square root of 12126634641 is 110121.

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

12126634641 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 6 + 6 + 3 + 4 + 641 = 666.

It is not a de Polignac number, because 12126634641 - 2⁹ = 12126634129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12126634596 and 12126634605.

It is not an unprimeable number, because it can be changed into a prime (12126634441) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 170797636 + ... + 170797706.

Almost surely, 2^12126634641 is an apocalyptic number.

12126634641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12126634641 is the 110121-st square number.

12126634641 is the 55061-st centered octagonal number.

It is an amenable number.

12126634641 is a deficient number, since it is larger than the sum of its proper divisors (7826096248).

12126634641 is an equidigital number, since it uses as much as digits as its factorization.

12126634641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 132 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

Multiplying 12126634641 by its sum of digits (36), we get a square (436558847076 = 660726²).

The spelling of 12126634641 in words is "twelve billion, one hundred twenty-six million, six hundred thirty-four thousand, six hundred forty-one".