Base | Representation |
---|---|
bin | 111000110111100001… |
… | …0111010111111111100 |
3 | 102200012220022112112101 |
4 | 1301233002322333330 |
5 | 4000101230334322 |
6 | 132034020514444 |
7 | 11552204621500 |
oct | 1615702727774 |
9 | 380186275471 |
10 | 122122121212 |
11 | 47878832203 |
12 | 1b80254ba24 |
13 | b692a4bcb0 |
14 | 5ca7110300 |
15 | 329b43c327 |
hex | 1c6f0baffc |
122122121212 has 288 divisors, whose sum is σ = 291331797120. Its totient is φ = 44259747840.
The previous prime is 122122121203. The next prime is 122122121237. The reversal of 122122121212 is 212121221221.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 122122121212.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 307612198 + ... + 307612594.
It is an arithmetic number, because the mean of its divisors is an integer number (1011568740).
Almost surely, 2122122121212 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122122121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145665898560).
122122121212 is an abundant number, since it is smaller than the sum of its proper divisors (169209675908).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122122121212 is a wasteful number, since it uses less digits than its factorization.
122122121212 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 661 (or 652 counting only the distinct ones).
The product of its digits is 128, while the sum is 19.
Adding to 122122121212 its reverse (212121221221), we get a palindrome (334243342433).
The spelling of 122122121212 in words is "one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred twelve".
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