| Base | Representation |
|---|---|
| bin | 10110101110100110… |
| … | …10100100111010000 |
| 3 | 1011111101101222002002 |
| 4 | 23113103110213100 |
| 5 | 144442214214300 |
| 6 | 5334445213132 |
| 7 | 611244102032 |
| oct | 132723244720 |
| 9 | 34441358062 |
| 10 | 12202101200 |
| 11 | 51a184a263 |
| 12 | 24465611a8 |
| 13 | 11c5ca6333 |
| 14 | 83a7c9c52 |
| 15 | 4b63925d5 |
| hex | 2d74d49d0 |
12202101200 has 60 divisors (see below), whose sum is σ = 29464548300. Its totient is φ = 4856033280.
The previous prime is 12202101181. The next prime is 12202101209. The reversal of 12202101200 is 210120221.
It is a happy number.
12202101200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 6 ways, for example, as 3026760256 + 9175340944 = 55016^2 + 95788^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12202101209) 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 11 ways as a sum of consecutive naturals, for example, 1376 + ... + 156224.
It is an arithmetic number, because the mean of its divisors is an integer number (491075805).
Almost surely, 212202101200 is an apocalyptic number.
12202101200 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 12202101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14732274150).
12202101200 is an abundant number, since it is smaller than the sum of its proper divisors (17262447100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12202101200 is a wasteful number, since it uses less digits than its factorization.
12202101200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 155064 (or 155053 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 11.
Adding to 12202101200 its reverse (210120221), we get a palindrome (12412221421).
The spelling of 12202101200 in words is "twelve billion, two hundred two million, one hundred one thousand, two hundred".
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