12011334331311 has 128 divisors (see below), whose sum is σ = 21626394624000. Its totient is φ = 6441901788672.

The previous prime is 12011334331307. The next prime is 12011334331331. The reversal of 12011334331311 is 11313343311021.

12011334331311 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 1 + 3 + 343 + 3 + 1 + 311 = 666.

It is not a de Polignac number, because 12011334331311 - 2² = 12011334331307 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011334331331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 224875170 + ... + 224928576.

It is an arithmetic number, because the mean of its divisors is an integer number (168956208000).

Almost surely, 2^{12011334331311} is an apocalyptic number.

12011334331311 is a deficient number, since it is larger than the sum of its proper divisors (9615060292689).

12011334331311 is a wasteful number, since it uses less digits than its factorization.

12011334331311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54598 (or 54592 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 12011334331311 its reverse (11313343311021), we get a palindrome (23324677642332).

The spelling of 12011334331311 in words is "twelve trillion, eleven billion, three hundred thirty-four million, three hundred thirty-one thousand, three hundred eleven".