222123010200 has 768 divisors, whose sum is σ = 890979640320. Its totient is φ = 44521021440.

The previous prime is 222123010177. The next prime is 222123010247. The reversal of 222123010200 is 2010321222.

It is a happy number.

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 222123010200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86867322 + ... + 86869878.

It is an arithmetic number, because the mean of its divisors is an integer number (1160129740).

Almost surely, 2^222123010200 is an apocalyptic number.

222123010200 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 222123010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445489820160).

222123010200 is an abundant number, since it is smaller than the sum of its proper divisors (668856630120).

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

222123010200 is a wasteful number, since it uses less digits than its factorization.

222123010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 222123010200 its reverse (2010321222), we get a palindrome (224133331422).

The spelling of 222123010200 in words is "two hundred twenty-two billion, one hundred twenty-three million, ten thousand, two hundred".