12280320 has 240 divisors, whose sum is σ = 46918872. Its totient is φ = 2949120.

The previous prime is 12280271. The next prime is 12280343. The reversal of 12280320 is 2308221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4260096 + 8020224 = 2064^2 + 2832^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 12280293 and 12280302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299500 + ... + 299540.

Almost surely, 2^12280320 is an apocalyptic number.

12280320 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 12280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23459436).

12280320 is an abundant number, since it is smaller than the sum of its proper divisors (34638552).

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

12280320 is a wasteful number, since it uses less digits than its factorization.

12280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12280320 is about 3504.3287517012. The cubic root of 12280320 is about 230.7118462444.

Adding to 12280320 its reverse (2308221), we get a palindrome (14588541).

The spelling of 12280320 in words is "twelve million, two hundred eighty thousand, three hundred twenty".