Base | Representation |
---|---|
bin | 101110111010… |
… | …111101011000 |
3 | 212010220121000 |
4 | 232322331120 |
5 | 11122100440 |
6 | 1115345000 |
7 | 206356260 |
oct | 56727530 |
9 | 25126530 |
10 | 12300120 |
11 | 6a41298 |
12 | 4152160 |
13 | 27187a1 |
14 | 18c27a0 |
15 | 112e730 |
hex | bbaf58 |
12300120 has 128 divisors (see below), whose sum is σ = 46886400. Its totient is φ = 2809728.
The previous prime is 12300103. The next prime is 12300131. The reversal of 12300120 is 2100321.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6747 + ... + 8373.
It is an arithmetic number, because the mean of its divisors is an integer number (366300).
Almost surely, 212300120 is an apocalyptic number.
12300120 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 12300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23443200).
12300120 is an abundant number, since it is smaller than the sum of its proper divisors (34586280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12300120 is a wasteful number, since it uses less digits than its factorization.
12300120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1654 (or 1644 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 12300120 is about 3507.1526912868. The cubic root of 12300120 is about 230.8357746559.
Adding to 12300120 its reverse (2100321), we get a palindrome (14400441).
The spelling of 12300120 in words is "twelve million, three hundred thousand, one hundred twenty".
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