Base | Representation |
---|---|
bin | 1110100100011… |
… | …11011000101000 |
3 | 22111222112020012 |
4 | 13102033120220 |
5 | 222242101440 |
6 | 20043351052 |
7 | 3012604466 |
oct | 722173050 |
9 | 274875205 |
10 | 122222120 |
11 | 62a9a319 |
12 | 34b22488 |
13 | 1c4244a7 |
14 | 12337836 |
15 | aae3e65 |
hex | 748f628 |
122222120 has 32 divisors (see below), whose sum is σ = 277731720. Its totient is φ = 48403200.
The previous prime is 122222071. The next prime is 122222131. The reversal of 122222120 is 21222221.
It can be written as a sum of positive squares in 4 ways, for example, as 120516484 + 1705636 = 10978^2 + 1306^2 .
It is a junction number, because it is equal to n+sod(n) for n = 122222095 and 122222104.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11087 + ... + 19166.
Almost surely, 2122222120 is an apocalyptic number.
122222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
122222120 is an abundant number, since it is smaller than the sum of its proper divisors (155509600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122222120 is a wasteful number, since it uses less digits than its factorization.
122222120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 30365 (or 30361 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
The square root of 122222120 is about 11055.4113446764. The cubic root of 122222120 is about 496.2683792976.
Adding to 122222120 its reverse (21222221), we get a palindrome (143444341).
The spelling of 122222120 in words is "one hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty".
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