12126312 has 96 divisors (see below), whose sum is σ = 36560160. Its totient is φ = 3600000.

The previous prime is 12126307. The next prime is 12126319. The reversal of 12126312 is 21362121.

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.

It is not an unprimeable number, because it can be changed into a prime (12126319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48187 + ... + 48437.

It is an arithmetic number, because the mean of its divisors is an integer number (380835).

Almost surely, 2^12126312 is an apocalyptic number.

12126312 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 12126312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280080).

12126312 is an abundant number, since it is smaller than the sum of its proper divisors (24433848).

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

12126312 is a wasteful number, since it uses less digits than its factorization.

12126312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 328 counting only the distinct ones).

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

The square root of 12126312 is about 3482.2854564208. The cubic root of 12126312 is about 229.7433305625.

Adding to 12126312 its reverse (21362121), we get a palindrome (33488433).

The spelling of 12126312 in words is "twelve million, one hundred twenty-six thousand, three hundred twelve".