12348288 has 96 divisors (see below), whose sum is σ = 36942360. Its totient is φ = 4105728.

The previous prime is 12348251. The next prime is 12348289. The reversal of 12348288 is 88284321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (12348289) 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 11 ways as a sum of consecutive naturals, for example, 30906 + ... + 31302.

Almost surely, 2^12348288 is an apocalyptic number.

12348288 is a gapful number since it is divisible by the number (18) 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 12348288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18471180).

12348288 is an abundant number, since it is smaller than the sum of its proper divisors (24594072).

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

12348288 is an frugal number, since it uses more digits than its factorization.

12348288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 402 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 12348288 is about 3514.0130904708. The cubic root of 12348288 is about 231.1367043759.

The spelling of 12348288 in words is "twelve million, three hundred forty-eight thousand, two hundred eighty-eight".