12105130440144 has 80 divisors (see below), whose sum is σ = 35740379219328. Its totient is φ = 3458471018496.

The previous prime is 12105130440089. The next prime is 12105130440167. The reversal of 12105130440144 is 44104403150121.

It is a super-3 number, since 3×12105130440144³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7889584 + ... + 9298160.

Almost surely, 2^{12105130440144} is an apocalyptic number.

12105130440144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12105130440144 is an abundant number, since it is smaller than the sum of its proper divisors (23635248779184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12105130440144 is a wasteful number, since it uses less digits than its factorization.

12105130440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434172 (or 1434166 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 12105130440144 its reverse (44104403150121), we get a palindrome (56209533590265).

The spelling of 12105130440144 in words is "twelve trillion, one hundred five billion, one hundred thirty million, four hundred forty thousand, one hundred forty-four".