221111200000 has 108 divisors (see below), whose sum is σ = 551665042740. Its totient is φ = 88444160000.

The previous prime is 221111199989. The next prime is 221111200007. The reversal of 221111200000 is 2111122.

221111200000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 219893469184 + 1217730816 = 468928^2 + 34896^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 221111200000.

It is not an unprimeable number, because it can be changed into a prime (221111200007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 661806 + ... + 938194.

It is an arithmetic number, because the mean of its divisors is an integer number (5108009655).

Almost surely, 2^221111200000 is an apocalyptic number.

221111200000 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 221111200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275832521370).

221111200000 is an abundant number, since it is smaller than the sum of its proper divisors (330553842740).

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

221111200000 is an frugal number, since it uses more digits than its factorization.

221111200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276430 (or 276396 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 221111200000 its reverse (2111122), we get a palindrome (221113311122).

The spelling of 221111200000 in words is "two hundred twenty-one billion, one hundred eleven million, two hundred thousand".