12200211221200 has 60 divisors (see below), whose sum is σ = 31035184385580. Its totient is φ = 4593020692480.

The previous prime is 12200211221189. The next prime is 12200211221279. The reversal of 12200211221200 is 212211200221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1713313452096 + 10486897769104 = 1308936^2 + 3238348^2 .

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 897067555 + ... + 897081154.

It is an arithmetic number, because the mean of its divisors is an integer number (517253073093).

Almost surely, 2^{12200211221200} is an apocalyptic number.

12200211221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200211221200 is an abundant number, since it is smaller than the sum of its proper divisors (18834973164380).

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

12200211221200 is a wasteful number, since it uses less digits than its factorization.

12200211221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794148744 (or 1794148733 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12200211221200 its reverse (212211200221), we get a palindrome (12412422421421).

The spelling of 12200211221200 in words is "twelve trillion, two hundred billion, two hundred eleven million, two hundred twenty-one thousand, two hundred".