12211122011200 has 168 divisors, whose sum is σ = 35523538401600. Its totient is φ = 4042302351360.

The previous prime is 12211122011191. The next prime is 12211122011227. The reversal of 12211122011200 is 211022111221.

It is a super-2 number, since 2×12211122011200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18473110 + ... + 19122709.

Almost surely, 2^{12211122011200} is an apocalyptic number.

12211122011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211122011200 is an abundant number, since it is smaller than the sum of its proper divisors (23312416390400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12211122011200 is a wasteful number, since it uses less digits than its factorization.

12211122011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37595877 (or 37595862 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12211122011200 its reverse (211022111221), we get a palindrome (12422144122421).

The spelling of 12211122011200 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-two million, eleven thousand, two hundred".