221122233200 has 240 divisors, whose sum is σ = 595998853632. Its totient is φ = 78140160000.

The previous prime is 221122233193. The next prime is 221122233203. The reversal of 221122233200 is 2332221122.

It is a happy number.

221122233200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221122233203) 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, 48886139 + ... + 48890661.

Almost surely, 2^221122233200 is an apocalyptic number.

221122233200 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 221122233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297999426816).

221122233200 is an abundant number, since it is smaller than the sum of its proper divisors (374876620432).

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

221122233200 is a wasteful number, since it uses less digits than its factorization.

221122233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4864 (or 4853 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 221122233200 its reverse (2332221122), we get a palindrome (223454454322).

It can be divided in two parts, 2211222 and 33200, that added together give a palindrome (2244422).

The spelling of 221122233200 in words is "two hundred twenty-one billion, one hundred twenty-two million, two hundred thirty-three thousand, two hundred".