221022122112 has 192 divisors, whose sum is σ = 694876721760. Its totient is φ = 66875719680.

The previous prime is 221022122077. The next prime is 221022122129. The reversal of 221022122112 is 211221220122.

It is a happy number.

221022122112 is a `hidden beast` number, since 2 + 210 + 221 + 221 + 12 = 666.

221022122112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 8642208 + ... + 8667744.

Almost surely, 2^221022122112 is an apocalyptic number.

221022122112 is a gapful number since it is divisible by the number (22) 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 221022122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347438360880).

221022122112 is an abundant number, since it is smaller than the sum of its proper divisors (473854599648).

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

221022122112 is a wasteful number, since it uses less digits than its factorization.

221022122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26251 (or 26236 counting only the distinct ones).

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

Adding to 221022122112 its reverse (211221220122), we get a palindrome (432243342234).

The spelling of 221022122112 in words is "two hundred twenty-one billion, twenty-two million, one hundred twenty-two thousand, one hundred twelve".