12381648 has 80 divisors (see below), whose sum is σ = 33854976. Its totient is φ = 3893760.

The previous prime is 12381641. The next prime is 12381689. The reversal of 12381648 is 84618321.

It is a super-3 number, since 3×12381648³ (a number of 22 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12381641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78786 + ... + 78942.

Almost surely, 2^12381648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12381648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16927488).

12381648 is an abundant number, since it is smaller than the sum of its proper divisors (21473328).

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

12381648 is a wasteful number, since it uses less digits than its factorization.

12381648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 12381648 is about 3518.7565985729. The cubic root of 12381648 is about 231.3446626809.

Adding to 12381648 its reverse (84618321), we get a palindrome (96999969).

The spelling of 12381648 in words is "twelve million, three hundred eighty-one thousand, six hundred forty-eight".