13122320 has 40 divisors (see below), whose sum is σ = 31021080. Its totient is φ = 5160960.

The previous prime is 13122313. The next prime is 13122341. The reversal of 13122320 is 2322131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 984064 + 12138256 = 992^2 + 3484^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 13122295 and 13122304.

It is a congruent number.

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, 3536 + ... + 6224.

It is an arithmetic number, because the mean of its divisors is an integer number (775527).

Almost surely, 2^13122320 is an apocalyptic number.

13122320 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 13122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15510540).

13122320 is an abundant number, since it is smaller than the sum of its proper divisors (17898760).

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

13122320 is a wasteful number, since it uses less digits than its factorization.

13122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 13122320 is about 3622.4742925244. The cubic root of 13122320 is about 235.8686427866.

Adding to 13122320 its reverse (2322131), we get a palindrome (15444451).

The spelling of 13122320 in words is "thirteen million, one hundred twenty-two thousand, three hundred twenty".