221220122112 has 400 divisors, whose sum is σ = 720964160400. Its totient is φ = 66975068160.

The previous prime is 221220122107. The next prime is 221220122143. The reversal of 221220122112 is 211221022122.

It is a happy number.

221220122112 is a `hidden beast` number, since 221 + 220 + 1 + 221 + 1 + 2 = 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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 202396638 + ... + 202397730.

It is an arithmetic number, because the mean of its divisors is an integer number (1802410401).

Almost surely, 2^221220122112 is an apocalyptic number.

221220122112 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 221220122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360482080200).

221220122112 is an abundant number, since it is smaller than the sum of its proper divisors (499744038288).

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

221220122112 is an frugal number, since it uses more digits than its factorization.

221220122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1109 counting only the distinct ones).

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

Adding to 221220122112 its reverse (211221022122), we get a palindrome (432441144234).

The spelling of 221220122112 in words is "two hundred twenty-one billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twelve".