12641216 has 84 divisors (see below), whose sum is σ = 30403800. Its totient is φ = 5193216.

The previous prime is 12641203. The next prime is 12641249. The reversal of 12641216 is 61214621.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 12641191 and 12641200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90875 + ... + 91013.

It is an arithmetic number, because the mean of its divisors is an integer number (361950).

Almost surely, 2^12641216 is an apocalyptic number.

12641216 is a gapful number since it is divisible by the number (16) 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 12641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15201900).

12641216 is an abundant number, since it is smaller than the sum of its proper divisors (17762584).

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

12641216 is a wasteful number, since it uses less digits than its factorization.

12641216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 177 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 12641216 is about 3555.4487761744. The cubic root of 12641216 is about 232.9501265539.

Adding to 12641216 its reverse (61214621), we get a palindrome (73855837).

The spelling of 12641216 in words is "twelve million, six hundred forty-one thousand, two hundred sixteen".