12144228384 has 144 divisors (see below), whose sum is σ = 33187190400. Its totient is φ = 3888245760.

The previous prime is 12144228373. The next prime is 12144228403. The reversal of 12144228384 is 48382244121.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28176649 + ... + 28177079.

It is an arithmetic number, because the mean of its divisors is an integer number (230466600).

Almost surely, 2^12144228384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12144228384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16593595200).

12144228384 is an abundant number, since it is smaller than the sum of its proper divisors (21042962016).

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

12144228384 is a wasteful number, since it uses less digits than its factorization.

12144228384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 814 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The spelling of 12144228384 in words is "twelve billion, one hundred forty-four million, two hundred twenty-eight thousand, three hundred eighty-four".