12234560 has 112 divisors (see below), whose sum is σ = 33412176. Its totient is φ = 4227072.

The previous prime is 12234559. The next prime is 12234569. The reversal of 12234560 is 6543221.

12234560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 179776 + 12054784 = 424^2 + 3472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12234569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70634 + ... + 70806.

It is an arithmetic number, because the mean of its divisors is an integer number (298323).

Almost surely, 2^12234560 is an apocalyptic number.

12234560 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 12234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16706088).

12234560 is an abundant number, since it is smaller than the sum of its proper divisors (21177616).

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

12234560 is a wasteful number, since it uses less digits than its factorization.

12234560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 12234560 is about 3497.7935902509. The cubic root of 12234560 is about 230.4249233584.

Adding to 12234560 its reverse (6543221), we get a palindrome (18777781).

The spelling of 12234560 in words is "twelve million, two hundred thirty-four thousand, five hundred sixty".