12144000000 has 616 divisors, whose sum is σ = 46056910464. Its totient is φ = 2816000000.

The previous prime is 12143999993. The next prime is 12144000019. The reversal of 12144000000 is 44121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 12144000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 527999989 + ... + 528000011.

Almost surely, 2^12144000000 is an apocalyptic number.

12144000000 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 12144000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23028455232).

12144000000 is an abundant number, since it is smaller than the sum of its proper divisors (33912910464).

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

12144000000 is an frugal number, since it uses more digits than its factorization.

12144000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12144000000 its reverse (44121), we get a palindrome (12144044121).

It can be divided in two parts, 12 and 144000000, that multiplied together give a cube (1728000000 = 1200³).

The spelling of 12144000000 in words is "twelve billion, one hundred forty-four million", and thus it is an aban number.