Base | Representation |
---|---|
bin | 1011000110001000111111… |
… | …0101001010111110011000 |
3 | 1121012022122100112122012220 |
4 | 2301202033311022332120 |
5 | 3044341321232413422 |
6 | 41540354032304040 |
7 | 2366300231446044 |
oct | 261421765127630 |
9 | 47168570478186 |
10 | 12200120201112 |
11 | 3984050884968 |
12 | 145056b6a2020 |
13 | 6a660a8a637c |
14 | 3026bba2d024 |
15 | 162546bd9e5c |
hex | b188fd4af98 |
12200120201112 has 128 divisors (see below), whose sum is σ = 32865518223360. Its totient is φ = 3762985311360.
The previous prime is 12200120201107. The next prime is 12200120201147. The reversal of 12200120201112 is 21110202100221.
It is a super-2 number, since 2×122001202011122 (a number of 27 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 12200120201091 and 12200120201100.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45435393 + ... + 45703119.
It is an arithmetic number, because the mean of its divisors is an integer number (256761861120).
Almost surely, 212200120201112 is an apocalyptic number.
12200120201112 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 12200120201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16432759111680).
12200120201112 is an abundant number, since it is smaller than the sum of its proper divisors (20665398022248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12200120201112 is a wasteful number, since it uses less digits than its factorization.
12200120201112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 270453 (or 270449 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 15.
Adding to 12200120201112 its reverse (21110202100221), we get a palindrome (33310322301333).
The spelling of 12200120201112 in words is "twelve trillion, two hundred billion, one hundred twenty million, two hundred one thousand, one hundred twelve".
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