Base | Representation |
---|---|
bin | 1110100101011… |
… | …00011100000000 |
3 | 22112012120110121 |
4 | 13102230130000 |
5 | 222304403440 |
6 | 20050110024 |
7 | 3013611436 |
oct | 722543400 |
9 | 275176417 |
10 | 122341120 |
11 | 63070770 |
12 | 34b7b314 |
13 | 1c4666c5 |
14 | 12368d56 |
15 | ab1934a |
hex | 74ac700 |
122341120 has 72 divisors (see below), whose sum is σ = 319722480. Its totient is φ = 44482560.
The previous prime is 122341103. The next prime is 122341123. The reversal of 122341120 is 21143221.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 122341094 and 122341103.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122341123) 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, 9736 + ... + 18424.
It is an arithmetic number, because the mean of its divisors is an integer number (4440590).
Almost surely, 2122341120 is an apocalyptic number.
122341120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159861240).
122341120 is an abundant number, since it is smaller than the sum of its proper divisors (197381360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122341120 is an equidigital number, since it uses as much as digits as its factorization.
122341120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8721 (or 8707 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 16.
The square root of 122341120 is about 11060.7920150412. The cubic root of 122341120 is about 496.4293888354.
Adding to 122341120 its reverse (21143221), we get a palindrome (143484341).
The spelling of 122341120 in words is "one hundred twenty-two million, three hundred forty-one thousand, one hundred twenty".
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