221120022200 has 288 divisors, whose sum is σ = 654700075680. Its totient is φ = 67972608000.

The previous prime is 221120022191. The next prime is 221120022209. The reversal of 221120022200 is 2220021122.

It is an interprime number because it is at equal distance from previous prime (221120022191) and next prime (221120022209).

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 (221120022209) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 12357260 + ... + 12375140.

Almost surely, 2^221120022200 is an apocalyptic number.

221120022200 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 221120022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327350037840).

221120022200 is an abundant number, since it is smaller than the sum of its proper divisors (433580053480).

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

221120022200 is a wasteful number, since it uses less digits than its factorization.

221120022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17999 (or 17979 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 221120022200 its reverse (2220021122), we get a palindrome (223340043322).

The spelling of 221120022200 in words is "two hundred twenty-one billion, one hundred twenty million, twenty-two thousand, two hundred".