12110344301121 has 128 divisors (see below), whose sum is σ = 18920969971200. Its totient is φ = 6819240960000.

The previous prime is 12110344301071. The next prime is 12110344301129.

12110344301121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12110344301121 - 2⁶ = 12110344301057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12110344301091 and 12110344301100.

It is not an unprimeable number, because it can be changed into a prime (12110344301129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5797195845 + ... + 5797197933.

It is an arithmetic number, because the mean of its divisors is an integer number (147820077900).

Almost surely, 2^{12110344301121} is an apocalyptic number.

12110344301121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12110344301121 is a deficient number, since it is larger than the sum of its proper divisors (6810625670079).

12110344301121 is a wasteful number, since it uses less digits than its factorization.

12110344301121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3891.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 1211034 and 4301121, that added together give a palindrome (5512155).

The spelling of 12110344301121 in words is "twelve trillion, one hundred ten billion, three hundred forty-four million, three hundred one thousand, one hundred twenty-one".