12114444441121 has 8 divisors (see below), whose sum is σ = 13215926844288. Its totient is φ = 11012990250000.

The previous prime is 12114444441097. The next prime is 12114444441137.

12114444441121 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is not a de Polignac number, because 12114444441121 - 2⁴¹ = 9915421185569 is a prime.

It is a super-3 number, since 3×12114444441121³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12114444441161) 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 7 ways as a sum of consecutive naturals, for example, 6150130 + ... + 7877371.

It is an arithmetic number, because the mean of its divisors is an integer number (1651990855536).

Almost surely, 2^{12114444441121} is an apocalyptic number.

12114444441121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12114444441121 is a deficient number, since it is larger than the sum of its proper divisors (1101482403167).

12114444441121 is a wasteful number, since it uses less digits than its factorization.

12114444441121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14106023.

The product of its digits is 16384, while the sum is 34.

It can be divided in two parts, 1211444 and 4441121, that added together give a palindrome (5652565).

The spelling of 12114444441121 in words is "twelve trillion, one hundred fourteen billion, four hundred forty-four million, four hundred forty-one thousand, one hundred twenty-one".