12032120113 has 6 divisors (see below), whose sum is σ = 13028863974. Its totient is φ = 11106572256.

The previous prime is 12032120077. The next prime is 12032120119. The reversal of 12032120113 is 31102123021.

12032120113 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 3 ways, for example, as 538564849 + 11493555264 = 23207^2 + 107208^2 .

It is not a de Polignac number, because 12032120113 - 2²⁹ = 11495249201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12032120119) 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 5 ways as a sum of consecutive naturals, for example, 35597820 + ... + 35598157.

It is an arithmetic number, because the mean of its divisors is an integer number (2171477329).

Almost surely, 2^12032120113 is an apocalyptic number.

12032120113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12032120113 is a deficient number, since it is larger than the sum of its proper divisors (996743861).

12032120113 is an equidigital number, since it uses as much as digits as its factorization.

12032120113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71196003 (or 71195990 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12032120113 its reverse (31102123021), we get a palindrome (43134243134).

The spelling of 12032120113 in words is "twelve billion, thirty-two million, one hundred twenty thousand, one hundred thirteen".