12338144 has 96 divisors (see below), whose sum is σ = 31610880. Its totient is φ = 4603392.

The previous prime is 12338129. The next prime is 12338191. The reversal of 12338144 is 44183321.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

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, 55217 + ... + 55439.

It is an arithmetic number, because the mean of its divisors is an integer number (329280).

Almost surely, 2^12338144 is an apocalyptic number.

12338144 is a gapful number since it is divisible by the number (14) 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 12338144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15805440).

12338144 is an abundant number, since it is smaller than the sum of its proper divisors (19272736).

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

12338144 is a wasteful number, since it uses less digits than its factorization.

12338144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 12338144 is about 3512.5694299188. The cubic root of 12338144 is about 231.0733948424.

The spelling of 12338144 in words is "twelve million, three hundred thirty-eight thousand, one hundred forty-four".