12120122313 has 32 divisors (see below), whose sum is σ = 19412332800. Its totient is φ = 7429459968.

The previous prime is 12120122303. The next prime is 12120122317. The reversal of 12120122313 is 31322102121.

12120122313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12120122313 - 2¹⁰ = 12120121289 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12120122317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23028 + ... + 157386.

It is an arithmetic number, because the mean of its divisors is an integer number (606635400).

Almost surely, 2^12120122313 is an apocalyptic number.

12120122313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12120122313 is a deficient number, since it is larger than the sum of its proper divisors (7292210487).

12120122313 is a wasteful number, since it uses less digits than its factorization.

12120122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134638 (or 134632 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12120122313 its reverse (31322102121), we get a palindrome (43442224434).

The spelling of 12120122313 in words is "twelve billion, one hundred twenty million, one hundred twenty-two thousand, three hundred thirteen".