Base | Representation |
---|---|
bin | 1011001101000111100101… |
… | …0010100110001110000000 |
3 | 1121121210002001122110112022 |
4 | 2303101321102212032000 |
5 | 3103322330241420300 |
6 | 42111421432421012 |
7 | 2411043053460401 |
oct | 263217122461600 |
9 | 47553061573468 |
10 | 12320001123200 |
11 | 3a1a9794a7a91 |
12 | 146b847547768 |
13 | 6b4a041ca424 |
14 | 3084112199a8 |
15 | 1657114bd285 |
hex | b34794a6380 |
12320001123200 has 192 divisors, whose sum is σ = 30546698814720. Its totient is φ = 4909813708800.
The previous prime is 12320001123197. The next prime is 12320001123233. The reversal of 12320001123200 is 232110002321.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 2121574697 + ... + 2121580503.
It is an arithmetic number, because the mean of its divisors is an integer number (159097389660).
Almost surely, 212320001123200 is an apocalyptic number.
12320001123200 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 12320001123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15273349407360).
12320001123200 is an abundant number, since it is smaller than the sum of its proper divisors (18226697691520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12320001123200 is a wasteful number, since it uses less digits than its factorization.
12320001123200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8165 (or 8148 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 17.
Adding to 12320001123200 its reverse (232110002321), we get a palindrome (12552111125521).
The spelling of 12320001123200 in words is "twelve trillion, three hundred twenty billion, one million, one hundred twenty-three thousand, two hundred".
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