Base | Representation |
---|---|
bin | 111000111010001100… |
… | …1110010100110101100 |
3 | 102200110011102222002121 |
4 | 1301310121302212230 |
5 | 4000242233032340 |
6 | 132050551202324 |
7 | 11554345610320 |
oct | 1616431624654 |
9 | 380404388077 |
10 | 122212002220 |
11 | 47914542130 |
12 | 1b8286763a4 |
13 | b6a855ba19 |
14 | 5cb5029980 |
15 | 32a429394a |
hex | 1c746729ac |
122212002220 has 96 divisors (see below), whose sum is σ = 322121318400. Its totient is φ = 37836330240.
The previous prime is 122212002193. The next prime is 122212002221. The reversal of 122212002220 is 22200212221.
122212002220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 122212002194 and 122212002203.
It is not an unprimeable number, because it can be changed into a prime (122212002221) 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, 36844 + ... + 495763.
It is an arithmetic number, because the mean of its divisors is an integer number (3355430400).
Almost surely, 2122212002220 is an apocalyptic number.
122212002220 is a gapful number since it is divisible by the number (10) 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 122212002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161060659200).
122212002220 is an abundant number, since it is smaller than the sum of its proper divisors (199909316180).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122212002220 is a wasteful number, since it uses less digits than its factorization.
122212002220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 532783 (or 532781 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 16.
Adding to 122212002220 its reverse (22200212221), we get a palindrome (144412214441).
The spelling of 122212002220 in words is "one hundred twenty-two billion, two hundred twelve million, two thousand, two hundred twenty".
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