12200211021200 has 120 divisors (see below), whose sum is σ = 29394381615360. Its totient is φ = 4866212736000.

The previous prime is 12200211021197. The next prime is 12200211021217. The reversal of 12200211021200 is 212011200221.

12200211021200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 452667725 + ... + 452694675.

It is an arithmetic number, because the mean of its divisors is an integer number (244953180128).

Almost surely, 2^{12200211021200} is an apocalyptic number.

12200211021200 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 12200211021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14697190807680).

12200211021200 is an abundant number, since it is smaller than the sum of its proper divisors (17194170594160).

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

12200211021200 is a wasteful number, since it uses less digits than its factorization.

12200211021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30145 (or 30134 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12200211021200 its reverse (212011200221), we get a palindrome (12412222221421).

The spelling of 12200211021200 in words is "twelve trillion, two hundred billion, two hundred eleven million, twenty-one thousand, two hundred".