12105216 has 120 divisors (see below), whose sum is σ = 36386064. Its totient is φ = 3870720.

The previous prime is 12105211. The next prime is 12105271. The reversal of 12105216 is 61250121.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12105211) 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, 170461 + ... + 170531.

Almost surely, 2^12105216 is an apocalyptic number.

12105216 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 12105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18193032).

12105216 is an abundant number, since it is smaller than the sum of its proper divisors (24280848).

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

12105216 is an equidigital number, since it uses as much as digits as its factorization.

12105216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 12105216 is about 3479.2550926887. The cubic root of 12105216 is about 229.6100259880.

Adding to 12105216 its reverse (61250121), we get a palindrome (73355337).

It can be divided in two parts, 12105 and 216, that added together give a palindrome (12321).

The spelling of 12105216 in words is "twelve million, one hundred five thousand, two hundred sixteen".