12006216 has 72 divisors (see below), whose sum is σ = 34601970. Its totient is φ = 3760128.

The previous prime is 12006193. The next prime is 12006217. The reversal of 12006216 is 61260021.

It is a happy number.

12006216 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 3 ways, for example, as 11249316 + 756900 = 3354^2 + 870^2 .

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (12006217) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20520 + ... + 21096.

Almost surely, 2^12006216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12006216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17300985).

12006216 is an abundant number, since it is smaller than the sum of its proper divisors (22595754).

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

12006216 is a wasteful number, since it uses less digits than its factorization.

12006216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 599 counting only the distinct ones).

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

The square root of 12006216 is about 3464.9987012985. The cubic root of 12006216 is about 228.9823724855.

Adding to 12006216 its reverse (61260021), we get a palindrome (73266237).

The spelling of 12006216 in words is "twelve million, six thousand, two hundred sixteen".