12321144 has 96 divisors (see below), whose sum is σ = 37290240. Its totient is φ = 3643200.

The previous prime is 12321137. The next prime is 12321149. The reversal of 12321144 is 44112321.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12321149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37059 + ... + 37389.

It is an arithmetic number, because the mean of its divisors is an integer number (388440).

Almost surely, 2^12321144 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 12321144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18645120).

12321144 is an abundant number, since it is smaller than the sum of its proper divisors (24969096).

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

12321144 is a wasteful number, since it uses less digits than its factorization.

12321144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 394 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 12321144 is about 3510.1487147983. The cubic root of 12321144 is about 230.9672186011.

Adding to 12321144 its reverse (44112321), we get a palindrome (56433465).

It can be divided in two parts, 12321 and 144, that multiplied together give a square (1774224 = 1332²).

The spelling of 12321144 in words is "twelve million, three hundred twenty-one thousand, one hundred forty-four".