12144640 has 52 divisors (see below), whose sum is σ = 29192724. Its totient is φ = 4849664.

The previous prime is 12144637. The next prime is 12144677. The reversal of 12144640 is 4644121.

It can be written as a sum of positive squares in 2 ways, for example, as 5914624 + 6230016 = 2432^2 + 2496^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20184 + ... + 20776.

Almost surely, 2^12144640 is an apocalyptic number.

12144640 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 12144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14596362).

12144640 is an abundant number, since it is smaller than the sum of its proper divisors (17048084).

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

12144640 is an frugal number, since it uses more digits than its factorization.

12144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 12144640 is about 3484.9160678559. The cubic root of 12144640 is about 229.8590188316.

Adding to 12144640 its reverse (4644121), we get a palindrome (16788761).

The spelling of 12144640 in words is "twelve million, one hundred forty-four thousand, six hundred forty".