12033302011121 has 16 divisors (see below), whose sum is σ = 12215000851920. Its totient is φ = 11852063677440.

The previous prime is 12033302011079. The next prime is 12033302011163. The reversal of 12033302011121 is 12111020333021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12033302011079) and next prime (12033302011163).

It can be written as a sum of positive squares in 8 ways, for example, as 117439863025 + 11915862148096 = 342695^2 + 3451936^2 .

It is a cyclic number.

It is not a de Polignac number, because 12033302011121 - 2¹⁰ = 12033302010097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12033302011093 and 12033302011102.

It is not an unprimeable number, because it can be changed into a prime (12033302011021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485025365 + ... + 485050173.

It is an arithmetic number, because the mean of its divisors is an integer number (763437553245).

Almost surely, 2^{12033302011121} is an apocalyptic number.

It is an amenable number.

12033302011121 is a deficient number, since it is larger than the sum of its proper divisors (181698840799).

12033302011121 is an equidigital number, since it uses as much as digits as its factorization.

12033302011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33796.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12033302011121 its reverse (12111020333021), we get a palindrome (24144322344142).

The spelling of 12033302011121 in words is "twelve trillion, thirty-three billion, three hundred two million, eleven thousand, one hundred twenty-one".