Base | Representation |
---|---|
bin | 10110010110101000… |
… | …01011101100011100 |
3 | 1010222100222222101122 |
4 | 23023110023230130 |
5 | 144034224001340 |
6 | 5302503030112 |
7 | 603252550556 |
oct | 131324135434 |
9 | 33870888348 |
10 | 12001000220 |
11 | 50a9285100 |
12 | 23ab13b338 |
13 | 1193424b81 |
14 | 81bbdc4d6 |
15 | 4a38bbdb5 |
hex | 2cb50bb1c |
12001000220 has 72 divisors (see below), whose sum is σ = 27733372800. Its totient is φ = 4358977920.
The previous prime is 12001000217. The next prime is 12001000223. The reversal of 12001000220 is 2200010021.
12001000220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (12001000217) and next prime (12001000223).
It is a junction number, because it is equal to n+sod(n) for n = 12001000198 and 12001000207.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12001000223) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 2584661 + ... + 2589299.
Almost surely, 212001000220 is an apocalyptic number.
12001000220 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 12001000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13866686400).
12001000220 is an abundant number, since it is smaller than the sum of its proper divisors (15732372580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12001000220 is a wasteful number, since it uses less digits than its factorization.
12001000220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5739 (or 5726 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 8.
Adding to 12001000220 its reverse (2200010021), we get a palindrome (14201010241).
The spelling of 12001000220 in words is "twelve billion, one million, two hundred twenty", and thus it is an aban number.
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