12035135441 has 24 divisors (see below), whose sum is σ = 14101627176. Its totient is φ = 10241199360.

The previous prime is 12035135383. The next prime is 12035135467. The reversal of 12035135441 is 14453153021.

It can be written as a sum of positive squares in 4 ways, for example, as 67650625 + 11967484816 = 8225^2 + 109396^2 .

It is not a de Polignac number, because 12035135441 - 2¹⁰ = 12035134417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12035135471) 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 23 ways as a sum of consecutive naturals, for example, 9728675 + ... + 9729911.

It is an arithmetic number, because the mean of its divisors is an integer number (587567799).

Almost surely, 2^12035135441 is an apocalyptic number.

It is an amenable number.

12035135441 is a deficient number, since it is larger than the sum of its proper divisors (2066491735).

12035135441 is a wasteful number, since it uses less digits than its factorization.

12035135441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 12035135441 its reverse (14453153021), we get a palindrome (26488288462).

The spelling of 12035135441 in words is "twelve billion, thirty-five million, one hundred thirty-five thousand, four hundred forty-one".