Base | Representation |
---|---|
bin | 111000110111100001… |
… | …1001110010010011110 |
3 | 102200012220110112220200 |
4 | 1301233003032102132 |
5 | 4000101240401342 |
6 | 132034022324330 |
7 | 11552205401031 |
oct | 1615703162236 |
9 | 380186415820 |
10 | 122122200222 |
11 | 47878886600 |
12 | 1b8025896a6 |
13 | b692a78c49 |
14 | 5ca7131018 |
15 | 329b45594c |
hex | 1c6f0ce49e |
122122200222 has 144 divisors (see below), whose sum is σ = 301461800640. Its totient is φ = 35673644160.
The previous prime is 122122200191. The next prime is 122122200253. The reversal of 122122200222 is 222002221221.
122122200222 is a `hidden beast` number, since 1 + 221 + 2 + 220 + 0 + 222 = 666.
It is an interprime number because it is at equal distance from previous prime (122122200191) and next prime (122122200253).
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 = 122122200195 and 122122200204.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8776923 + ... + 8790825.
Almost surely, 2122122200222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122122200222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150730900320).
122122200222 is an abundant number, since it is smaller than the sum of its proper divisors (179339600418).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122122200222 is a wasteful number, since it uses less digits than its factorization.
122122200222 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 14079 (or 14065 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 122122200222 its reverse (222002221221), we get a palindrome (344124421443).
The spelling of 122122200222 in words is "one hundred twenty-two billion, one hundred twenty-two million, two hundred thousand, two hundred twenty-two".
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