Base | Representation |
---|---|
bin | 1110100011101… |
… | …01000001001000 |
3 | 22111210001002012 |
4 | 13101311001020 |
5 | 222230122440 |
6 | 20041155052 |
7 | 3011644562 |
oct | 721650110 |
9 | 274701065 |
10 | 122114120 |
11 | 62a26167 |
12 | 34a8ba88 |
13 | 1c3b729b |
14 | 1230a332 |
15 | aac1e65 |
hex | 7475048 |
122114120 has 32 divisors (see below), whose sum is σ = 279945720. Its totient is φ = 47923200.
The previous prime is 122114093. The next prime is 122114123. The reversal of 122114120 is 21411221.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 121925764 + 188356 = 11042^2 + 434^2 .
It is a junction number, because it is equal to n+sod(n) for n = 122114095 and 122114104.
It is not an unprimeable number, because it can be changed into a prime (122114123) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26681 + ... + 30920.
Almost surely, 2122114120 is an apocalyptic number.
122114120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
122114120 is an abundant number, since it is smaller than the sum of its proper divisors (157831600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122114120 is a wasteful number, since it uses less digits than its factorization.
122114120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 57665 (or 57661 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 14.
The square root of 122114120 is about 11050.5257793464. The cubic root of 122114120 is about 496.1221625040.
Adding to 122114120 its reverse (21411221), we get a palindrome (143525341).
The spelling of 122114120 in words is "one hundred twenty-two million, one hundred fourteen thousand, one hundred twenty".
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