12144240 has 120 divisors (see below), whose sum is σ = 41434848. Its totient is φ = 3187200.

The previous prime is 12144233. The next prime is 12144247. The reversal of 12144240 is 4244121.

12144240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12144233) and next prime (12144247).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144247) 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, 72637 + ... + 72803.

Almost surely, 2^12144240 is an apocalyptic number.

12144240 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 12144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20717424).

12144240 is an abundant number, since it is smaller than the sum of its proper divisors (29290608).

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

12144240 is a wasteful number, since it uses less digits than its factorization.

12144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 12144240 is about 3484.8586771919. The cubic root of 12144240 is about 229.8564952323.

Adding to 12144240 its reverse (4244121), we get a palindrome (16388361).

The spelling of 12144240 in words is "twelve million, one hundred forty-four thousand, two hundred forty".