Base | Representation |
---|---|
bin | 1011000110001101100000… |
… | …0100100111100101110000 |
3 | 1121012102202211011001220011 |
4 | 2301203120010213211300 |
5 | 3044401312021210112 |
6 | 41541114210024304 |
7 | 2366342246401540 |
oct | 261433004474560 |
9 | 47172684131804 |
10 | 12201332210032 |
11 | 3984612a43129 |
12 | 1450849578094 |
13 | 6a6771a13904 |
14 | 3027949a7320 |
15 | 1625b82e8aa7 |
hex | b18d8127970 |
12201332210032 has 120 divisors (see below), whose sum is σ = 28721672945280. Its totient is φ = 4917010876800.
The previous prime is 12201332210029. The next prime is 12201332210033. The reversal of 12201332210032 is 23001223310221.
It is a super-2 number, since 2×122013322100322 (a number of 27 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 12201332209985 and 12201332210012.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12201332210033) 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 23 ways as a sum of consecutive naturals, for example, 1750407 + ... + 5240857.
It is an arithmetic number, because the mean of its divisors is an integer number (239347274544).
Almost surely, 212201332210032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 12201332210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14360836472640).
12201332210032 is an abundant number, since it is smaller than the sum of its proper divisors (16520340735248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12201332210032 is a wasteful number, since it uses less digits than its factorization.
12201332210032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3490571 (or 3490542 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 22.
Adding to 12201332210032 its reverse (23001223310221), we get a palindrome (35202555520253).
It can be divided in two parts, 12201 and 332210032, that added together give a palindrome (332222233).
The spelling of 12201332210032 in words is "twelve trillion, two hundred one billion, three hundred thirty-two million, two hundred ten thousand, thirty-two".
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