12442144416 has 192 divisors, whose sum is σ = 37802153088. Its totient is φ = 3548971008.

The previous prime is 12442144411. The next prime is 12442144459. The reversal of 12442144416 is 61444124421.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12442144411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1417096 + ... + 1425848.

It is an arithmetic number, because the mean of its divisors is an integer number (196886214).

Almost surely, 2^12442144416 is an apocalyptic number.

12442144416 is a gapful number since it is divisible by the number (16) 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 12442144416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18901076544).

12442144416 is an abundant number, since it is smaller than the sum of its proper divisors (25360008672).

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

12442144416 is a wasteful number, since it uses less digits than its factorization.

12442144416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8863 (or 8855 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

Adding to 12442144416 its reverse (61444124421), we get a palindrome (73886268837).

The spelling of 12442144416 in words is "twelve billion, four hundred forty-two million, one hundred forty-four thousand, four hundred sixteen".