12126177841 has 8 divisors (see below), whose sum is σ = 12195126344. Its totient is φ = 12057292800.

The previous prime is 12126177823. The next prime is 12126177851. The reversal of 12126177841 is 14877162121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 747475600 + 11378702241 = 27340^2 + 106671^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12126177841 is a prime.

It is a super-3 number, since 3×12126177841³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12126177794 and 12126177803.

It is not an unprimeable number, because it can be changed into a prime (12126177851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 397741 + ... + 427141.

It is an arithmetic number, because the mean of its divisors is an integer number (1524390793).

Almost surely, 2^12126177841 is an apocalyptic number.

It is an amenable number.

12126177841 is a deficient number, since it is larger than the sum of its proper divisors (68948503).

12126177841 is a wasteful number, since it uses less digits than its factorization.

12126177841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31731.

The product of its digits is 37632, while the sum is 40.

The spelling of 12126177841 in words is "twelve billion, one hundred twenty-six million, one hundred seventy-seven thousand, eight hundred forty-one".