12133322011201 has 8 divisors (see below), whose sum is σ = 12253674916008. Its totient is φ = 12012973440000.

The previous prime is 12133322011199. The next prime is 12133322011211. The reversal of 12133322011201 is 10211022333121.

It can be written as a sum of positive squares in 4 ways, for example, as 2022041340225 + 10111280670976 = 1421985^2 + 3179824^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12133322011201 - 2¹ = 12133322011199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12133322011211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4696161 + ... + 6805921.

It is an arithmetic number, because the mean of its divisors is an integer number (1531709364501).

Almost surely, 2^{12133322011201} is an apocalyptic number.

It is an amenable number.

12133322011201 is a deficient number, since it is larger than the sum of its proper divisors (120352904807).

12133322011201 is a wasteful number, since it uses less digits than its factorization.

12133322011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166803.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12133322011201 its reverse (10211022333121), we get a palindrome (22344344344322).

The spelling of 12133322011201 in words is "twelve trillion, one hundred thirty-three billion, three hundred twenty-two million, eleven thousand, two hundred one".