12441168 has 80 divisors (see below), whose sum is σ = 36902400. Its totient is φ = 4008960.

The previous prime is 12441131. The next prime is 12441173. The reversal of 12441168 is 86114421.

It is a happy number.

It is a super-2 number, since 2×12441168² = 309565322408448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12928 + ... + 13856.

It is an arithmetic number, because the mean of its divisors is an integer number (461280).

Almost surely, 2^12441168 is an apocalyptic number.

12441168 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 12441168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18451200).

12441168 is an abundant number, since it is smaller than the sum of its proper divisors (24461232).

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

12441168 is a wasteful number, since it uses less digits than its factorization.

12441168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 965 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 12441168 is about 3527.2039918326. The cubic root of 12441168 is about 231.7147703594.

Adding to 12441168 its reverse (86114421), we get a palindrome (98555589).

The spelling of 12441168 in words is "twelve million, four hundred forty-one thousand, one hundred sixty-eight".