12141824 has 36 divisors (see below), whose sum is σ = 24822336. Its totient is φ = 5924352.

The previous prime is 12141803. The next prime is 12141827. The reversal of 12141824 is 42814121.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12141824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12141827) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10457 + ... + 11559.

Almost surely, 2^12141824 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 12141824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12411168).

12141824 is an abundant number, since it is smaller than the sum of its proper divisors (12680512).

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

12141824 is an equidigital number, since it uses as much as digits as its factorization.

12141824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1148 counting only the distinct ones).

The product of its digits is 512, while the sum is 23.

The square root of 12141824 is about 3484.5120174854. The cubic root of 12141824 is about 229.8412515139.

Adding to 12141824 its reverse (42814121), we get a palindrome (54955945).

The spelling of 12141824 in words is "twelve million, one hundred forty-one thousand, eight hundred twenty-four".