Base | Representation |
---|---|
bin | 10110111011101110… |
… | …00000110011001000 |
3 | 1011210001102112012201 |
4 | 23131313000303020 |
5 | 200203400324040 |
6 | 5353415245544 |
7 | 614051204050 |
oct | 133567006310 |
9 | 34701375181 |
10 | 12312120520 |
11 | 5248964417 |
12 | 24773798b4 |
13 | 1212a1741b |
14 | 84b268560 |
15 | 4c0d75a9a |
hex | 2dddc0cc8 |
12312120520 has 128 divisors (see below), whose sum is σ = 32811091200. Its totient is φ = 4068320256.
The previous prime is 12312120497. The next prime is 12312120559. The reversal of 12312120520 is 2502121321.
12312120520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6145839 + ... + 6147841.
It is an arithmetic number, because the mean of its divisors is an integer number (256336650).
Almost surely, 212312120520 is an apocalyptic number.
12312120520 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 12312120520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16405545600).
12312120520 is an abundant number, since it is smaller than the sum of its proper divisors (20498970680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12312120520 is a wasteful number, since it uses less digits than its factorization.
12312120520 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2807 (or 2803 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 19.
Adding to 12312120520 its reverse (2502121321), we get a palindrome (14814241841).
It can be divided in two parts, 123121 and 20520, that added together give a square (143641 = 3792).
The spelling of 12312120520 in words is "twelve billion, three hundred twelve million, one hundred twenty thousand, five hundred twenty".
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