Base | Representation |
---|---|
bin | 10110010110110000… |
… | …11011001011010010 |
3 | 1010222110002110202110 |
4 | 23023120123023102 |
5 | 144040020042320 |
6 | 5302542530150 |
7 | 603265161534 |
oct | 131330331322 |
9 | 33873073673 |
10 | 12002112210 |
11 | 50a9974600 |
12 | 23ab596956 |
13 | 119372405a |
14 | 81c00b854 |
15 | 4a3a3b5e0 |
hex | 2cb61b2d2 |
12002112210 has 96 divisors (see below), whose sum is σ = 32683424256. Its totient is φ = 2815718400.
The previous prime is 12002112203. The next prime is 12002112247. The reversal of 12002112210 is 1221120021.
12002112210 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 47 ways as a sum of consecutive naturals, for example, 59202 + ... + 165858.
It is an arithmetic number, because the mean of its divisors is an integer number (340452336).
Almost surely, 212002112210 is an apocalyptic number.
12002112210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 12002112210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16341712128).
12002112210 is an abundant number, since it is smaller than the sum of its proper divisors (20681312046).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12002112210 is a wasteful number, since it uses less digits than its factorization.
12002112210 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 106720 (or 106709 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
Adding to 12002112210 its reverse (1221120021), we get a palindrome (13223232231).
It can be divided in two parts, 120021 and 12210, that added together give a palindrome (132231).
The spelling of 12002112210 in words is "twelve billion, two million, one hundred twelve thousand, two hundred ten".
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