12009312 has 216 divisors, whose sum is σ = 42574896. Its totient is φ = 3193344.

The previous prime is 12009233. The next prime is 12009329. The reversal of 12009312 is 21390021.

12009312 = 28³ + 29³ + ... + 83³.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 324558 + ... + 324594.

It is an arithmetic number, because the mean of its divisors is an integer number (197106).

Almost surely, 2^12009312 is an apocalyptic number.

12009312 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 12009312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21287448).

12009312 is an abundant number, since it is smaller than the sum of its proper divisors (30565584).

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

12009312 is a wasteful number, since it uses less digits than its factorization.

12009312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 12009312 is about 3465.4454259157. The cubic root of 12009312 is about 229.0020530825.

Adding to 12009312 its reverse (21390021), we get a palindrome (33399333).

It can be divided in two parts, 12009 and 312, that added together give a palindrome (12321).

The spelling of 12009312 in words is "twelve million, nine thousand, three hundred twelve".