12142824 has 64 divisors (see below), whose sum is σ = 33024000. Its totient is φ = 3706560.

The previous prime is 12142807. The next prime is 12142829. The reversal of 12142824 is 42824121.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 12142794 and 12142803.

It is not an unprimeable number, because it can be changed into a prime (12142829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13707 + ... + 14565.

It is an arithmetic number, because the mean of its divisors is an integer number (516000).

Almost surely, 2^12142824 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 12142824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16512000).

12142824 is an abundant number, since it is smaller than the sum of its proper divisors (20881176).

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

12142824 is a wasteful number, since it uses less digits than its factorization.

12142824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 914 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 12142824 is about 3484.6555066462. The cubic root of 12142824 is about 229.8475612452.

Adding to 12142824 its reverse (42824121), we get a palindrome (54966945).

The spelling of 12142824 in words is "twelve million, one hundred forty-two thousand, eight hundred twenty-four".