221122111200 has 144 divisors (see below), whose sum is σ = 721258836480. Its totient is φ = 58842488320.

The previous prime is 221122111193. The next prime is 221122111213. The reversal of 221122111200 is 2111221122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221122111200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1053427 + ... + 1245773.

It is an arithmetic number, because the mean of its divisors is an integer number (5008741920).

Almost surely, 2^221122111200 is an apocalyptic number.

221122111200 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 221122111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360629418240).

221122111200 is an abundant number, since it is smaller than the sum of its proper divisors (500136725280).

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

221122111200 is a wasteful number, since it uses less digits than its factorization.

221122111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192849 (or 192836 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221122111200 its reverse (2111221122), we get a palindrome (223233332322).

It can be divided in two parts, 22112 and 2111200, that added together give a palindrome (2133312).

The spelling of 221122111200 in words is "two hundred twenty-one billion, one hundred twenty-two million, one hundred eleven thousand, two hundred".