12123312 has 80 divisors (see below), whose sum is σ = 33747840. Its totient is φ = 3736576.

The previous prime is 12123299. The next prime is 12123317. The reversal of 12123312 is 21332121.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12123291 and 12123300.

It is not an unprimeable number, because it can be changed into a prime (12123317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67639 + ... + 67817.

It is an arithmetic number, because the mean of its divisors is an integer number (421848).

Almost surely, 2^12123312 is an apocalyptic number.

12123312 is a gapful number since it is divisible by the number (12) 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 12123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873920).

12123312 is an abundant number, since it is smaller than the sum of its proper divisors (21624528).

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

12123312 is a wasteful number, since it uses less digits than its factorization.

12123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 284 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 12123312 is about 3481.8546781852. The cubic root of 12123312 is about 229.7243831464.

Adding to 12123312 its reverse (21332121), we get a palindrome (33455433).

The spelling of 12123312 in words is "twelve million, one hundred twenty-three thousand, three hundred twelve".