12144528 has 180 divisors, whose sum is σ = 40520844. Its totient is φ = 3379200.

The previous prime is 12144523. The next prime is 12144563. The reversal of 12144528 is 82544121.

12144528 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 can be written as a sum of positive squares in 2 ways, for example, as 4460544 + 7683984 = 2112^2 + 2772^2 .

It is not an unprimeable number, because it can be changed into a prime (12144521) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 296188 + ... + 296228.

Almost surely, 2^12144528 is an apocalyptic number.

12144528 is a gapful number since it is divisible by the number (18) 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 12144528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20260422).

12144528 is an abundant number, since it is smaller than the sum of its proper divisors (28376316).

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

12144528 is a wasteful number, since it uses less digits than its factorization.

12144528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 74 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 12144528 is about 3484.8999985652. The cubic root of 12144528 is about 229.8583122294.

Adding to 12144528 its reverse (82544121), we get a palindrome (94688649).

The spelling of 12144528 in words is "twelve million, one hundred forty-four thousand, five hundred twenty-eight".