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222111122112 = 26331115437573
BaseRepresentation
bin1100111011011011011…
…0101100001011000000
3210020022022021001212000
43032312312230023000
512114340421401422
6250011512104000
722022056246605
oct3166666541300
9706268231760
10222111122112
1186218a35540
1237068695000
1317c391aa199
14aa7090a6ac
155b9e702cac
hex33b6dac2c0

222111122112 has 224 divisors, whose sum is σ = 712881845760. Its totient is φ = 67253898240.

The previous prime is 222111122099. The next prime is 222111122113. The reversal of 222111122112 is 211221111222.

222111122112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (222111122113) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 29325558 + ... + 29333130.

It is an arithmetic number, because the mean of its divisors is an integer number (3182508240).

Almost surely, 2222111122112 is an apocalyptic number.

222111122112 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 222111122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356440922880).

222111122112 is an abundant number, since it is smaller than the sum of its proper divisors (490770723648).

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

222111122112 is a wasteful number, since it uses less digits than its factorization.

222111122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9148 (or 9132 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

Adding to 222111122112 its reverse (211221111222), we get a palindrome (433332233334).

The spelling of 222111122112 in words is "two hundred twenty-two billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twelve".