222022321133200 has 240 divisors, whose sum is σ = 641811707136000. Its totient is φ = 72102358725120.

The previous prime is 222022321133191. The next prime is 222022321133201. The reversal of 222022321133200 is 2331123220222.

222022321133200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×222022321133200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (222022321133201) 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, 293232711 + ... + 293988889.

It is an arithmetic number, because the mean of its divisors is an integer number (2674215446400).

Almost surely, 2^{222022321133200} is an apocalyptic number.

222022321133200 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 222022321133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320905853568000).

222022321133200 is an abundant number, since it is smaller than the sum of its proper divisors (419789386002800).

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

222022321133200 is a wasteful number, since it uses less digits than its factorization.

222022321133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761742 (or 761731 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 222022321133200 its reverse (2331123220222), we get a palindrome (224353444353422).

The spelling of 222022321133200 in words is "two hundred twenty-two trillion, twenty-two billion, three hundred twenty-one million, one hundred thirty-three thousand, two hundred".