12262120 has 32 divisors (see below), whose sum is σ = 29713320. Its totient is φ = 4527360.

The previous prime is 12262111. The next prime is 12262121. The reversal of 12262120 is 2126221.

It can be written as a sum of positive squares in 4 ways, for example, as 6240004 + 6022116 = 2498^2 + 2454^2 .

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 12262094 and 12262103.

It is not an unprimeable number, because it can be changed into a prime (12262121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11271 + ... + 12310.

Almost surely, 2^12262120 is an apocalyptic number.

12262120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12262120 is an abundant number, since it is smaller than the sum of its proper divisors (17451200).

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

12262120 is a wasteful number, since it uses less digits than its factorization.

12262120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23605 (or 23601 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 12262120 is about 3501.7310005196. The cubic root of 12262120 is about 230.5978146975.

Adding to 12262120 its reverse (2126221), we get a palindrome (14388341).

The spelling of 12262120 in words is "twelve million, two hundred sixty-two thousand, one hundred twenty".