12120320 has 72 divisors (see below), whose sum is σ = 30794904. Its totient is φ = 4554752.

The previous prime is 12120307. The next prime is 12120343. The reversal of 12120320 is 2302121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 614656 + 11505664 = 784^2 + 3392^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21482 + ... + 22038.

It is an arithmetic number, because the mean of its divisors is an integer number (427707).

Almost surely, 2^12120320 is an apocalyptic number.

12120320 is a gapful number since it is divisible by the number (10) 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 12120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15397452).

12120320 is an abundant number, since it is smaller than the sum of its proper divisors (18674584).

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

12120320 is an equidigital number, since it uses as much as digits as its factorization.

12120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 12120320 is about 3481.4249956017. The cubic root of 12120320 is about 229.7054831432.

Adding to 12120320 its reverse (2302121), we get a palindrome (14422441).

The spelling of 12120320 in words is "twelve million, one hundred twenty thousand, three hundred twenty".