221001211200 has 672 divisors, whose sum is σ = 922505241600. Its totient is φ = 45918566400.

The previous prime is 221001211187. The next prime is 221001211217. The reversal of 221001211200 is 2112100122.

221001211200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18104299 + ... + 18116501.

Almost surely, 2^221001211200 is an apocalyptic number.

221001211200 is a gapful number since it is divisible by the number (20) 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 221001211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461252620800).

221001211200 is an abundant number, since it is smaller than the sum of its proper divisors (701504030400).

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

221001211200 is a wasteful number, since it uses less digits than its factorization.

221001211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12260 (or 12231 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221001211200 its reverse (2112100122), we get a palindrome (223113311322).

The spelling of 221001211200 in words is "two hundred twenty-one billion, one million, two hundred eleven thousand, two hundred".