Base | Representation |
---|---|
bin | 1010111010100111011000… |
… | …1110010111000111100110 |
3 | 1120111101120112012000102000 |
4 | 2232221312032113013212 |
5 | 3033120321224214342 |
6 | 41305410534030130 |
7 | 2346060526406361 |
oct | 256516616270746 |
9 | 46441515160360 |
10 | 12002122101222 |
11 | 3908087038970 |
12 | 141a1124a8346 |
13 | 690a45248396 |
14 | 2d6c9777d0d8 |
15 | 15c3093a144c |
hex | aea763971e6 |
12002122101222 has 128 divisors (see below), whose sum is σ = 30091264819200. Its totient is φ = 3514564404000.
The previous prime is 12002122101217. The next prime is 12002122101223. The reversal of 12002122101222 is 22210122120021.
It is a happy number.
12002122101222 is a `hidden beast` number, since 1 + 20 + 0 + 212 + 210 + 1 + 222 = 666.
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 = 12002122101195 and 12002122101204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12002122101223) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 515404 + ... + 4926447.
It is an arithmetic number, because the mean of its divisors is an integer number (235088006400).
Almost surely, 212002122101222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12002122101222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15045632409600).
12002122101222 is an abundant number, since it is smaller than the sum of its proper divisors (18089142717978).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12002122101222 is a wasteful number, since it uses less digits than its factorization.
12002122101222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5441999 (or 5441993 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 12002122101222 its reverse (22210122120021), we get a palindrome (34212244221243).
The spelling of 12002122101222 in words is "twelve trillion, two billion, one hundred twenty-two million, one hundred one thousand, two hundred twenty-two".
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