12441312 has 72 divisors (see below), whose sum is σ = 38112984. Its totient is φ = 3826944.

The previous prime is 12441311. The next prime is 12441313. The reversal of 12441312 is 21314421.

It is an interprime number because it is at equal distance from previous prime (12441311) and next prime (12441313).

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

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12441311) 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, 2083 + ... + 5405.

It is an arithmetic number, because the mean of its divisors is an integer number (529347).

Almost surely, 2^12441312 is an apocalyptic number.

12441312 is a gapful number since it is divisible by the number (12) 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 12441312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19056492).

12441312 is an abundant number, since it is smaller than the sum of its proper divisors (25671672).

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

12441312 is a wasteful number, since it uses less digits than its factorization.

12441312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352 (or 3341 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 12441312 is about 3527.2244045425. The cubic root of 12441312 is about 231.7156643483.

Adding to 12441312 its reverse (21314421), we get a palindrome (33755733).

It can be divided in two parts, 1244 and 1312, that added together give a triangular number (2556 = T₇₁).

The spelling of 12441312 in words is "twelve million, four hundred forty-one thousand, three hundred twelve".