12144414340 has 24 divisors (see below), whose sum is σ = 25508613312. Its totient is φ = 4856748000.

The previous prime is 12144414323. The next prime is 12144414349. The reversal of 12144414340 is 4341444121.

12144414340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12144414299 and 12144414308.

It is not an unprimeable number, because it can be changed into a prime (12144414349) 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, 38215 + ... + 160465.

It is an arithmetic number, because the mean of its divisors is an integer number (1062858888).

Almost surely, 2^12144414340 is an apocalyptic number.

12144414340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12144414340 is an abundant number, since it is smaller than the sum of its proper divisors (13364198972).

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

12144414340 is a wasteful number, since it uses less digits than its factorization.

12144414340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127227 (or 127225 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 12144414340 its reverse (4341444121), we get a palindrome (16485858461).

The spelling of 12144414340 in words is "twelve billion, one hundred forty-four million, four hundred fourteen thousand, three hundred forty".