12123216 has 160 divisors (see below), whose sum is σ = 42060800. Its totient is φ = 3265920.

The previous prime is 12123211. The next prime is 12123217. The reversal of 12123216 is 61232121.

12123216 is nontrivially palindromic in base 11.

12123216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12123216³ (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 nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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 (12123211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57351 + ... + 57561.

It is an arithmetic number, because the mean of its divisors is an integer number (262880).

Almost surely, 2^12123216 is an apocalyptic number.

12123216 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 12123216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21030400).

12123216 is an abundant number, since it is smaller than the sum of its proper divisors (29937584).

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

12123216 is a wasteful number, since it uses less digits than its factorization.

12123216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 242 counting only the distinct ones).

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

The square root of 12123216 is about 3481.8408924016. The cubic root of 12123216 is about 229.7237767774.

Adding to 12123216 its reverse (61232121), we get a palindrome (73355337).

The spelling of 12123216 in words is "twelve million, one hundred twenty-three thousand, two hundred sixteen".