12144442000 has 160 divisors (see below), whose sum is σ = 30188246400. Its totient is φ = 4723520000.

The previous prime is 12144441989. The next prime is 12144442007. The reversal of 12144442000 is 24444121.

It is not an unprimeable number, because it can be changed into a prime (12144442007) 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 31 ways as a sum of consecutive naturals, for example, 11917491 + ... + 11918509.

It is an arithmetic number, because the mean of its divisors is an integer number (188676540).

Almost surely, 2^12144442000 is an apocalyptic number.

12144442000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12144442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15094123200).

12144442000 is an abundant number, since it is smaller than the sum of its proper divisors (18043804400).

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

12144442000 is a wasteful number, since it uses less digits than its factorization.

12144442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 12144442000 its reverse (24444121), we get a palindrome (12168886121).

The spelling of 12144442000 in words is "twelve billion, one hundred forty-four million, four hundred forty-two thousand".