12411360 has 288 divisors, whose sum is σ = 49805280. Its totient is φ = 2875392.

The previous prime is 12411359. The next prime is 12411361. The reversal of 12411360 is 6311421.

It is a happy number.

12411360 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12411359) and next prime (12411361).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×12411360³ (a number of 22 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12411361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 730072 + ... + 730088.

It is an arithmetic number, because the mean of its divisors is an integer number (172935).

Almost surely, 2^12411360 is an apocalyptic number.

12411360 is a gapful number since it is divisible by the number (10) 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 12411360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24902640).

12411360 is an abundant number, since it is smaller than the sum of its proper divisors (37393920).

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

12411360 is a wasteful number, since it uses less digits than its factorization.

12411360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12411360 is about 3522.9760146785. The cubic root of 12411360 is about 231.5295659533.

Adding to 12411360 its reverse (6311421), we get a palindrome (18722781).

It can be divided in two parts, 1241 and 1360, that added together give a square (2601 = 51²).

The spelling of 12411360 in words is "twelve million, four hundred eleven thousand, three hundred sixty".