222111133200 has 540 divisors, whose sum is σ = 870190270404. Its totient is φ = 52386048000.

The previous prime is 222111133183. The next prime is 222111133201. The reversal of 222111133200 is 2331111222.

222111133200 is a `hidden beast` number, since 2 + 221 + 111 + 332 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3266808336 + 218844324864 = 57156^2 + 467808^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (222111133201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16110310 + ... + 16124090.

Almost surely, 2^222111133200 is an apocalyptic number.

222111133200 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 222111133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435095135202).

222111133200 is an abundant number, since it is smaller than the sum of its proper divisors (648079137204).

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

222111133200 is a wasteful number, since it uses less digits than its factorization.

222111133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13864 (or 13839 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 222111133200 its reverse (2331111222), we get a palindrome (224442244422).

The spelling of 222111133200 in words is "two hundred twenty-two billion, one hundred eleven million, one hundred thirty-three thousand, two hundred".