12114333432441 has 48 divisors (see below), whose sum is σ = 18023439250960. Its totient is φ = 7835207086080.

The previous prime is 12114333432433. The next prime is 12114333432457. The reversal of 12114333432441 is 14423433341121.

12114333432441 is a `hidden beast` number, since 1 + 2 + 1 + 143 + 33 + 43 + 2 + 441 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3645674703225 + 8468658729216 = 1909365^2 + 2910096^2 .

It is not a de Polignac number, because 12114333432441 - 2³ = 12114333432433 is a prime.

It is a super-3 number, since 3×12114333432441³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12114333432396 and 12114333432405.

It is not an unprimeable number, because it can be changed into a prime (12114333432491) 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, 885479121 + ... + 885492801.

Almost surely, 2^{12114333432441} is an apocalyptic number.

It is an amenable number.

12114333432441 is a deficient number, since it is larger than the sum of its proper divisors (5909105818519).

12114333432441 is a wasteful number, since it uses less digits than its factorization.

12114333432441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21226 (or 21223 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 12114333432441 its reverse (14423433341121), we get a palindrome (26537766773562).

The spelling of 12114333432441 in words is "twelve trillion, one hundred fourteen billion, three hundred thirty-three million, four hundred thirty-two thousand, four hundred forty-one".