12033311121 has 12 divisors (see below), whose sum is σ = 18718484148. Its totient is φ = 7405114464.

The previous prime is 12033311119. The next prime is 12033311141. The reversal of 12033311121 is 12111333021.

12033311121 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 1824229521 + 10209081600 = 42711^2 + 101040^2 .

It is not a de Polignac number, because 12033311121 - 2¹ = 12033311119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12033311094 and 12033311103.

It is not an unprimeable number, because it can be changed into a prime (12033311111) 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, 51424290 + ... + 51424523.

It is an arithmetic number, because the mean of its divisors is an integer number (1559873679).

Almost surely, 2^12033311121 is an apocalyptic number.

It is an amenable number.

12033311121 is a deficient number, since it is larger than the sum of its proper divisors (6685173027).

12033311121 is a wasteful number, since it uses less digits than its factorization.

12033311121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102848832 (or 102848829 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12033311121 its reverse (12111333021), we get a palindrome (24144644142).

The spelling of 12033311121 in words is "twelve billion, thirty-three million, three hundred eleven thousand, one hundred twenty-one".