12132211311 has 24 divisors (see below), whose sum is σ = 19634116944. Its totient is φ = 7154127360.

The previous prime is 12132211283. The next prime is 12132211337. The reversal of 12132211311 is 11311223121.

12132211311 is a `hidden beast` number, since 1 + 21 + 322 + 11 + 311 = 666.

It is not a de Polignac number, because 12132211311 - 2⁷ = 12132211183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132211391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1652386 + ... + 1659711.

It is an arithmetic number, because the mean of its divisors is an integer number (818088206).

Almost surely, 2^12132211311 is an apocalyptic number.

12132211311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12132211311 is a deficient number, since it is larger than the sum of its proper divisors (7501905633).

12132211311 is a wasteful number, since it uses less digits than its factorization.

12132211311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312151 (or 3312148 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 12132211311 its reverse (11311223121), we get a palindrome (23443434432).

The spelling of 12132211311 in words is "twelve billion, one hundred thirty-two million, two hundred eleven thousand, three hundred eleven".