| Base | Representation |
|---|---|
| bin | 101101100001010011111001… |
| … | …100010010011100111110000 |
| 3 | 222020212001021222220211100020 |
| 4 | 231201103321202103213300 |
| 5 | 202220044030220334300 |
| 6 | 1545443055041123440 |
| 7 | 60112026264163200 |
| oct | 5541237142234760 |
| 9 | 866761258824306 |
| 10 | 200201202121200 |
| 11 | 588769423a9a45 |
| 12 | 1a554401629580 |
| 13 | 8792b7a665b77 |
| 14 | 3761b0b628400 |
| 15 | 1822a5cd1c8a0 |
| hex | b614f98939f0 |
200201202121200 has 1440 divisors, whose sum is σ = 799018444189440. Its totient is φ = 42596654284800.
The previous prime is 200201202121189. The next prime is 200201202121211. The reversal of 200201202121200 is 2121202102002.
200201202121200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (200201202121189) and next prime (200201202121211).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 200201202121200.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31512857224 + ... + 31512863576.
It is an arithmetic number, because the mean of its divisors is an integer number (554873919576).
Almost surely, 2200201202121200 is an apocalyptic number.
200201202121200 is a gapful number since it is divisible by the number (20) 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 200201202121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399509222094720).
200201202121200 is an abundant number, since it is smaller than the sum of its proper divisors (598817242068240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
200201202121200 is a wasteful number, since it uses less digits than its factorization.
200201202121200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6895 (or 6877 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 15.
Adding to 200201202121200 its reverse (2121202102002), we get a palindrome (202322404223202).
The spelling of 200201202121200 in words is "two hundred trillion, two hundred one billion, two hundred two million, one hundred twenty-one thousand, two hundred".
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