12261312 has 84 divisors (see below), whose sum is σ = 40178736. Its totient is φ = 3502080.

The previous prime is 12261311. The next prime is 12261331. The reversal of 12261312 is 21316221.

12261312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×12261312² = 300679543922688, which contains 22 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12261311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2512 + ... + 5552.

Almost surely, 2^12261312 is an apocalyptic number.

12261312 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 12261312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20089368).

12261312 is an abundant number, since it is smaller than the sum of its proper divisors (27917424).

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

12261312 is a wasteful number, since it uses less digits than its factorization.

12261312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3066 (or 3053 counting only the distinct ones).

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

The square root of 12261312 is about 3501.6156271070. The cubic root of 12261312 is about 230.5927495829.

Adding to 12261312 its reverse (21316221), we get a palindrome (33577533).

The spelling of 12261312 in words is "twelve million, two hundred sixty-one thousand, three hundred twelve".