12132120213 has 12 divisors (see below), whose sum is σ = 17562525708. Its totient is φ = 8070379200.

The previous prime is 12132120197. The next prime is 12132120257. The reversal of 12132120213 is 31202123121.

12132120213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10079758404 + 2052361809 = 100398^2 + 45303^2 .

It is not a de Polignac number, because 12132120213 - 2⁴ = 12132120197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132120113) 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 11 ways as a sum of consecutive naturals, for example, 1470738 + ... + 1478963.

It is an arithmetic number, because the mean of its divisors is an integer number (1463543809).

Almost surely, 2^12132120213 is an apocalyptic number.

It is an amenable number.

12132120213 is a deficient number, since it is larger than the sum of its proper divisors (5430405495).

12132120213 is a wasteful number, since it uses less digits than its factorization.

12132120213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950164 (or 2950161 counting only the distinct ones).

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

Adding to 12132120213 its reverse (31202123121), we get a palindrome (43334243334).

The spelling of 12132120213 in words is "twelve billion, one hundred thirty-two million, one hundred twenty thousand, two hundred thirteen".