221011221200 has 240 divisors, whose sum is σ = 662530928640. Its totient is φ = 68831424000.

The previous prime is 221011221191. The next prime is 221011221209. The reversal of 221011221200 is 2122110122.

It is an interprime number because it is at equal distance from previous prime (221011221191) and next prime (221011221209).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221011221209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56392841 + ... + 56396759.

It is an arithmetic number, because the mean of its divisors is an integer number (2760545536).

Almost surely, 2^221011221200 is an apocalyptic number.

221011221200 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 221011221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331265464320).

221011221200 is an abundant number, since it is smaller than the sum of its proper divisors (441519707440).

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

221011221200 is a wasteful number, since it uses less digits than its factorization.

221011221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5786 (or 5775 counting only the distinct ones).

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

Adding to 221011221200 its reverse (2122110122), we get a palindrome (223133331322).

The spelling of 221011221200 in words is "two hundred twenty-one billion, eleven million, two hundred twenty-one thousand, two hundred".