12144044121 has 48 divisors (see below), whose sum is σ = 18025555968. Its totient is φ = 7266434560.

The previous prime is 12144044117. The next prime is 12144044189.

12144044121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12144044121 - 2² = 12144044117 is a prime.

It is a super-2 number, since 2×12144044121² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12144044091 and 12144044100.

It is not an unprimeable number, because it can be changed into a prime (12144044221) 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 47 ways as a sum of consecutive naturals, for example, 15709891 + ... + 15710663.

It is an arithmetic number, because the mean of its divisors is an integer number (375532416).

Almost surely, 2^12144044121 is an apocalyptic number.

12144044121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12144044121 is a deficient number, since it is larger than the sum of its proper divisors (5881511847).

12144044121 is a wasteful number, since it uses less digits than its factorization.

12144044121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 121440 and 44121, that added together give a palindrome (165561).

The spelling of 12144044121 in words is "twelve billion, one hundred forty-four million, forty-four thousand, one hundred twenty-one".