12144040 has 72 divisors (see below), whose sum is σ = 29866590. Its totient is φ = 4443264.

The previous prime is 12144031. The next prime is 12144043. The reversal of 12144040 is 4044121.

12144040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 9947716 + 2196324 = 3154^2 + 1482^2 .

It is not an unprimeable number, because it can be changed into a prime (12144043) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 418746 + ... + 418774.

Almost surely, 2^12144040 is an apocalyptic number.

12144040 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 12144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14933295).

12144040 is an abundant number, since it is smaller than the sum of its proper divisors (17722550).

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

12144040 is a wasteful number, since it uses less digits than its factorization.

12144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 12144040 is about 3484.8299815056. The cubic root of 12144040 is about 229.8552334118.

Adding to 12144040 its reverse (4044121), we get a palindrome (16188161).

The spelling of 12144040 in words is "twelve million, one hundred forty-four thousand, forty".