12145824 has 72 divisors (see below), whose sum is σ = 34879572. Its totient is φ = 4008960.

The previous prime is 12145801. The next prime is 12145829. The reversal of 12145824 is 42854121.

It can be written as a sum of positive squares in 2 ways, for example, as 9363600 + 2782224 = 3060^2 + 1668^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12145829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52012 + ... + 52244.

Almost surely, 2^12145824 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 12145824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17439786).

12145824 is an abundant number, since it is smaller than the sum of its proper divisors (22733748).

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

12145824 is a wasteful number, since it uses less digits than its factorization.

12145824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 419 counting only the distinct ones).

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

The square root of 12145824 is about 3485.0859386821. The cubic root of 12145824 is about 229.8664883610.

Adding to 12145824 its reverse (42854121), we get a palindrome (54999945).

The spelling of 12145824 in words is "twelve million, one hundred forty-five thousand, eight hundred twenty-four".