Base | Representation |
---|---|
bin | 10110101110011000… |
… | …11101110110001100 |
3 | 1011111021000122210120 |
4 | 23113030131312030 |
5 | 144441234212022 |
6 | 5334342504540 |
7 | 611222605311 |
oct | 132714356614 |
9 | 34437018716 |
10 | 12200304012 |
11 | 51a0831a86 |
12 | 2445a35150 |
13 | 11c57c7300 |
14 | 83a47cd08 |
15 | 4b6139d5c |
hex | 2d731dd8c |
12200304012 has 144 divisors (see below), whose sum is σ = 31442503680. Its totient is φ = 3679603200.
The previous prime is 12200304001. The next prime is 12200304013. The reversal of 12200304012 is 21040300221.
It is a super-2 number, since 2×122003040122 (a number of 21 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 12200303982 and 12200304000.
It is not an unprimeable number, because it can be changed into a prime (12200304013) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43417312 + ... + 43417592.
It is an arithmetic number, because the mean of its divisors is an integer number (218350720).
Almost surely, 212200304012 is an apocalyptic number.
12200304012 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 12200304012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15721251840).
12200304012 is an abundant number, since it is smaller than the sum of its proper divisors (19242199668).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12200304012 is a wasteful number, since it uses less digits than its factorization.
12200304012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 664 (or 649 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
Adding to 12200304012 its reverse (21040300221), we get a palindrome (33240604233).
The spelling of 12200304012 in words is "twelve billion, two hundred million, three hundred four thousand, twelve".
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