222112221010000 has 200 divisors, whose sum is σ = 539558366054400. Its totient is φ = 88547441088000.

The previous prime is 222112221009977. The next prime is 222112221010007. The reversal of 222112221010000 is 10122211222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222112221010007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5358149274 + ... + 5358190726.

It is an arithmetic number, because the mean of its divisors is an integer number (2697791830272).

Almost surely, 2^{222112221010000} is an apocalyptic number.

222112221010000 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 222112221010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269779183027200).

222112221010000 is an abundant number, since it is smaller than the sum of its proper divisors (317446145044400).

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

222112221010000 is a wasteful number, since it uses less digits than its factorization.

222112221010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43263 (or 43242 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222112221010000 its reverse (10122211222), we get a palindrome (222122343221222).

It can be divided in two parts, 2221 and 12221010000, that added together give a palindrome (12221012221).

The spelling of 222112221010000 in words is "two hundred twenty-two trillion, one hundred twelve billion, two hundred twenty-one million, ten thousand".