Base | Representation |
---|---|
bin | 10110101111110010… |
… | …01000100010100110 |
3 | 1011112002001112211000 |
4 | 23113321020202212 |
5 | 200002233410342 |
6 | 5335441454130 |
7 | 611424254043 |
oct | 132771104246 |
9 | 34462045730 |
10 | 12212013222 |
11 | 51a73aa312 |
12 | 2449941346 |
13 | 11c8066b36 |
14 | 83bc4a1ca |
15 | 4b719e44c |
hex | 2d7e488a6 |
12212013222 has 128 divisors (see below), whose sum is σ = 29046988800. Its totient is φ = 3792096000.
The previous prime is 12212013211. The next prime is 12212013227. The reversal of 12212013222 is 22231021221.
12212013222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×122120132223 (a number of 31 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 12212013195 and 12212013204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12212013227) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 19792258 + ... + 19792874.
It is an arithmetic number, because the mean of its divisors is an integer number (226929600).
Almost surely, 212212013222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12212013222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14523494400).
12212013222 is an abundant number, since it is smaller than the sum of its proper divisors (16834975578).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12212013222 is a wasteful number, since it uses less digits than its factorization.
12212013222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 939 (or 933 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 12212013222 its reverse (22231021221), we get a palindrome (34443034443).
The spelling of 12212013222 in words is "twelve billion, two hundred twelve million, thirteen thousand, two hundred twenty-two".
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