12144366312 has 128 divisors (see below), whose sum is σ = 33856220160. Its totient is φ = 3604930560.

The previous prime is 12144366271. The next prime is 12144366319. The reversal of 12144366312 is 21366344121.

It is a happy number.

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 (12144366319) 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, 3412438 + ... + 3415994.

It is an arithmetic number, because the mean of its divisors is an integer number (264501720).

Almost surely, 2^12144366312 is an apocalyptic number.

12144366312 is a gapful number since it is divisible by the number (12) 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 12144366312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16928110080).

12144366312 is an abundant number, since it is smaller than the sum of its proper divisors (21711853848).

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

12144366312 is a wasteful number, since it uses less digits than its factorization.

12144366312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963 (or 3959 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The spelling of 12144366312 in words is "twelve billion, one hundred forty-four million, three hundred sixty-six thousand, three hundred twelve".