12822120 has 48 divisors (see below), whose sum is σ = 41673060. Its totient is φ = 3419136.

The previous prime is 12822113. The next prime is 12822133. The reversal of 12822120 is 2122821.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12574116 + 248004 = 3546^2 + 498^2 .

It is a super-2 number, since 2×12822120² = 328813522588800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12822093 and 12822102.

It is an unprimeable number.

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, 17449 + ... + 18168.

Almost surely, 2^12822120 is an apocalyptic number.

12822120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12822120 is an abundant number, since it is smaller than the sum of its proper divisors (28850940).

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

12822120 is a wasteful number, since it uses less digits than its factorization.

12822120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35634 (or 35627 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12822120 is about 3580.7987935655. The cubic root of 12822120 is about 234.0560899948.

Adding to 12822120 its reverse (2122821), we get a palindrome (14944941).

The spelling of 12822120 in words is "twelve million, eight hundred twenty-two thousand, one hundred twenty".