Base | Representation |
---|---|
bin | 10110010110111001… |
… | …01000000000000000 |
3 | 1010222112011102012000 |
4 | 23023130220000000 |
5 | 144040310311222 |
6 | 5303022304000 |
7 | 603310425666 |
oct | 131334500000 |
9 | 33875142160 |
10 | 12003213312 |
11 | 50aa556902 |
12 | 23aba28000 |
13 | 1193a1b2ac |
14 | 81c216c36 |
15 | 4a3ba79ac |
hex | 2cb728000 |
12003213312 has 128 divisors (see below), whose sum is σ = 35567155200. Its totient is φ = 4000776192.
The previous prime is 12003213301. The next prime is 12003213331. The reversal of 12003213312 is 21331230021.
12003213312 is a `hidden beast` number, since 12 + 0 + 0 + 321 + 331 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 877953 + ... + 891519.
It is an arithmetic number, because the mean of its divisors is an integer number (277868400).
Almost surely, 212003213312 is an apocalyptic number.
12003213312 is a gapful number since it is divisible by the number (12) 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 12003213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17783577600).
12003213312 is an abundant number, since it is smaller than the sum of its proper divisors (23563941888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12003213312 is an frugal number, since it uses more digits than its factorization.
12003213312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13606 (or 13572 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 12003213312 its reverse (21331230021), we get a palindrome (33334443333).
The spelling of 12003213312 in words is "twelve billion, three million, two hundred thirteen thousand, three hundred twelve".
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