12211103313200 has 180 divisors, whose sum is σ = 32292220301040. Its totient is φ = 4434125836800.

The previous prime is 12211103313169. The next prime is 12211103313263. The reversal of 12211103313200 is 231330111221.

It is a happy number.

It is a super-2 number, since 2×12211103313200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 35 ways as a sum of consecutive naturals, for example, 34137677 + ... + 34493523.

Almost surely, 2^{12211103313200} is an apocalyptic number.

12211103313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211103313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16146110150520).

12211103313200 is an abundant number, since it is smaller than the sum of its proper divisors (20081116987840).

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

12211103313200 is a wasteful number, since it uses less digits than its factorization.

12211103313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356596 (or 356574 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12211103313200 its reverse (231330111221), we get a palindrome (12442433424421).

The spelling of 12211103313200 in words is "twelve trillion, two hundred eleven billion, one hundred three million, three hundred thirteen thousand, two hundred".