Base | Representation |
---|---|
bin | 101111000001… |
… | …100011010000 |
3 | 212012021122000 |
4 | 233001203100 |
5 | 11123431440 |
6 | 1120114000 |
7 | 206531061 |
oct | 57014320 |
9 | 25167560 |
10 | 12327120 |
11 | 6a5a603 |
12 | 4165900 |
13 | 2727b70 |
14 | 18cc568 |
15 | 1137730 |
hex | bc18d0 |
12327120 has 160 divisors (see below), whose sum is σ = 45830400. Its totient is φ = 3027456.
The previous prime is 12327109. The next prime is 12327127. The reversal of 12327120 is 2172321.
It is a Cunningham number, because it is equal to 35112-1.
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 = 12327093 and 12327102.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12327127) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27861 + ... + 28299.
It is an arithmetic number, because the mean of its divisors is an integer number (286440).
Almost surely, 212327120 is an apocalyptic number.
12327120 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 12327120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22915200).
12327120 is an abundant number, since it is smaller than the sum of its proper divisors (33503280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12327120 is a wasteful number, since it uses less digits than its factorization.
12327120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 474 (or 462 counting only the distinct ones).
The product of its (nonzero) digits is 168, while the sum is 18.
The square root of 12327120 is about 3510.9998575904. Note that the first 3 decimals coincide. The cubic root of 12327120 is about 231.0045537979.
Adding to 12327120 its reverse (2172321), we get a palindrome (14499441).
The spelling of 12327120 in words is "twelve million, three hundred twenty-seven thousand, one hundred twenty".
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