222133202120 has 64 divisors (see below), whose sum is σ = 509044374720. Its totient is φ = 87223428864.

The previous prime is 222133202117. The next prime is 222133202131. The reversal of 222133202120 is 21202331222.

It is a happy number.

222133202120 is digitally balanced in base 2 and base 3, because in such bases 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 junction number, because it is equal to n+sod(n) for n = 222133202092 and 222133202101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308159 + ... + 734321.

It is an arithmetic number, because the mean of its divisors is an integer number (7953818355).

Almost surely, 2^222133202120 is an apocalyptic number.

222133202120 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 222133202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254522187360).

222133202120 is an abundant number, since it is smaller than the sum of its proper divisors (286911172600).

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

222133202120 is a wasteful number, since it uses less digits than its factorization.

222133202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426414 (or 426410 counting only the distinct ones).

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

Adding to 222133202120 its reverse (21202331222), we get a palindrome (243335533342).

The spelling of 222133202120 in words is "two hundred twenty-two billion, one hundred thirty-three million, two hundred two thousand, one hundred twenty".