30222132233200 has 120 divisors (see below), whose sum is σ = 75118301027280. Its totient is φ = 11671082035200.

The previous prime is 30222132233147. The next prime is 30222132233201. The reversal of 30222132233200 is 233223122203.

30222132233200 is digitally balanced in base 5, 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 (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30222132233201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158720452 + ... + 158910748.

It is an arithmetic number, because the mean of its divisors is an integer number (625985841894).

Almost surely, 2^{30222132233200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30222132233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37559150513640).

30222132233200 is an abundant number, since it is smaller than the sum of its proper divisors (44896168794080).

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

30222132233200 is a wasteful number, since it uses less digits than its factorization.

30222132233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204035 (or 204024 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 30222132233200 its reverse (233223122203), we get a palindrome (30455355355403).

The spelling of 30222132233200 in words is "thirty trillion, two hundred twenty-two billion, one hundred thirty-two million, two hundred thirty-three thousand, two hundred".