Base | Representation |
---|---|
bin | 10110101110011111… |
… | …00000001101011000 |
3 | 1011111022112002212001 |
4 | 23113033200031120 |
5 | 144441440200440 |
6 | 5334411530344 |
7 | 611232432316 |
oct | 132717401530 |
9 | 34438462761 |
10 | 12201100120 |
11 | 51a1226120 |
12 | 24461599b4 |
13 | 11c5a15791 |
14 | 83a6090b6 |
15 | 4b6245b9a |
hex | 2d73e0358 |
12201100120 has 64 divisors (see below), whose sum is σ = 29995142400. Its totient is φ = 4429802880.
The previous prime is 12201100091. The next prime is 12201100129. The reversal of 12201100120 is 2100110221.
12201100120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 12201100097 and 12201100106.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12201100129) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263251 + ... + 306109.
It is an arithmetic number, because the mean of its divisors is an integer number (468674100).
Almost surely, 212201100120 is an apocalyptic number.
12201100120 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 12201100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14997571200).
12201100120 is an abundant number, since it is smaller than the sum of its proper divisors (17794042280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12201100120 is a wasteful number, since it uses less digits than its factorization.
12201100120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 43528 (or 43524 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 10.
Adding to 12201100120 its reverse (2100110221), we get a palindrome (14301210341).
The spelling of 12201100120 in words is "twelve billion, two hundred one million, one hundred thousand, one hundred twenty".
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