12414144 has 112 divisors (see below), whose sum is σ = 35844480. Its totient is φ = 3778560.

The previous prime is 12414133. The next prime is 12414169. The reversal of 12414144 is 44141421.

12414144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12414144³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 12414144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149527 + ... + 149609.

It is an arithmetic number, because the mean of its divisors is an integer number (320040).

Almost surely, 2^12414144 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 12414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17922240).

12414144 is an abundant number, since it is smaller than the sum of its proper divisors (23430336).

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

12414144 is a wasteful number, since it uses less digits than its factorization.

12414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 12414144 is about 3523.3711130109. The cubic root of 12414144 is about 231.5468761734.

Adding to 12414144 its reverse (44141421), we get a palindrome (56555565).

The spelling of 12414144 in words is "twelve million, four hundred fourteen thousand, one hundred forty-four".