222121111111200 has 864 divisors, whose sum is σ = 903941240057856. Its totient is φ = 50274135521280.

The previous prime is 222121111111183. The next prime is 222121111111247. The reversal of 222121111111200 is 2111111121222.

It is a happy number.

222121111111200 is a `hidden beast` number, since 2 + 221 + 21 + 111 + 111 + 200 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 2213568229 + ... + 2213668571.

It is an arithmetic number, because the mean of its divisors is an integer number (1046228287104).

Almost surely, 2^{222121111111200} is an apocalyptic number.

222121111111200 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 222121111111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451970620028928).

222121111111200 is an abundant number, since it is smaller than the sum of its proper divisors (681820128946656).

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

222121111111200 is a wasteful number, since it uses less digits than its factorization.

222121111111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100806 (or 100790 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 222121111111200 its reverse (2111111121222), we get a palindrome (224232222232422).

The spelling of 222121111111200 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, one hundred eleven million, one hundred eleven thousand, two hundred".