12822160 has 40 divisors (see below), whose sum is σ = 32107320. Its totient is φ = 4733952.

The previous prime is 12822151. The next prime is 12822179. The reversal of 12822160 is 6122821.

It can be written as a sum of positive squares in 4 ways, for example, as 767376 + 12054784 = 876^2 + 3472^2 .

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

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, 5125 + ... + 7204.

It is an arithmetic number, because the mean of its divisors is an integer number (802683).

Almost surely, 2^12822160 is an apocalyptic number.

12822160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12822160 is an abundant number, since it is smaller than the sum of its proper divisors (19285160).

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

12822160 is a wasteful number, since it uses less digits than its factorization.

12822160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12355 (or 12349 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 12822160 is about 3580.8043789071. The cubic root of 12822160 is about 234.0563333824.

Adding to 12822160 its reverse (6122821), we get a palindrome (18944981).

The spelling of 12822160 in words is "twelve million, eight hundred twenty-two thousand, one hundred sixty".