12144000 has 256 divisors, whose sum is σ = 45826560. Its totient is φ = 2816000.

The previous prime is 12143993. The next prime is 12144007. The reversal of 12144000 is 44121.

It is an interprime number because it is at equal distance from previous prime (12143993) and next prime (12144007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144007) 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, 527989 + ... + 528011.

It is an arithmetic number, because the mean of its divisors is an integer number (179010).

Almost surely, 2^12144000 is an apocalyptic number.

12144000 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 12144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22913280).

12144000 is an abundant number, since it is smaller than the sum of its proper divisors (33682560).

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

12144000 is a wasteful number, since it uses less digits than its factorization.

12144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 44 counting only the distinct ones).

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

The square root of 12144000 is about 3484.8242423399. The cubic root of 12144000 is about 229.8549810460.

Adding to 12144000 its reverse (44121), we get a palindrome (12188121).

It can be divided in two parts, 12 and 144000, that multiplied together give a cube (1728000 = 120³).

The spelling of 12144000 in words is "twelve million, one hundred forty-four thousand".