12135312 has 80 divisors (see below), whose sum is σ = 39818880. Its totient is φ = 3466368.

The previous prime is 12135307. The next prime is 12135313. The reversal of 12135312 is 21353121.

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

It is not an unprimeable number, because it can be changed into a prime (12135313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1018 + ... + 5030.

It is an arithmetic number, because the mean of its divisors is an integer number (497736).

Almost surely, 2^12135312 is an apocalyptic number.

12135312 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 12135312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19909440).

12135312 is an abundant number, since it is smaller than the sum of its proper divisors (27683568).

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

12135312 is a wasteful number, since it uses less digits than its factorization.

12135312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4037 (or 4025 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 12135312 is about 3483.5774715083. The cubic root of 12135312 is about 229.8001540673.

Adding to 12135312 its reverse (21353121), we get a palindrome (33488433).

The spelling of 12135312 in words is "twelve million, one hundred thirty-five thousand, three hundred twelve".