221222120112000 has 512 divisors, whose sum is σ = 931239794534400. Its totient is φ = 50565055334400.

The previous prime is 221222120111921. The next prime is 221222120112043. The reversal of 221222120112000 is 211021222122.

It is a happy number.

221222120112000 is a `hidden beast` number, since 2 + 212 + 221 + 20 + 11 + 200 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33553732 + ... + 39601731.

It is an arithmetic number, because the mean of its divisors is an integer number (1818827723700).

Almost surely, 2^{221222120112000} is an apocalyptic number.

221222120112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221222120112000 is an abundant number, since it is smaller than the sum of its proper divisors (710017674422400).

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

221222120112000 is an equidigital number, since it uses as much as digits as its factorization.

221222120112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73155508 (or 73155480 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221222120112000 its reverse (211021222122), we get a palindrome (221433141334122).

The spelling of 221222120112000 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, one hundred twenty million, one hundred twelve thousand".