12211311011200 has 144 divisors (see below), whose sum is σ = 35090775782100. Its totient is φ = 4186735150080.

The previous prime is 12211311011197. The next prime is 12211311011281. The reversal of 12211311011200 is 211011311221.

It is a happy number.

It is a super-2 number, since 2×12211311011200² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38782330 + ... + 39095929.

Almost surely, 2^{12211311011200} is an apocalyptic number.

12211311011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211311011200 is an abundant number, since it is smaller than the sum of its proper divisors (22879464770900).

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

12211311011200 is an equidigital number, since it uses as much as digits as its factorization.

12211311011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77878297 (or 77878273 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 12211311011200 its reverse (211011311221), we get a palindrome (12422322322421).

The spelling of 12211311011200 in words is "twelve trillion, two hundred eleven billion, three hundred eleven million, eleven thousand, two hundred".