| Base | Representation |
|---|---|
| bin | 101101110000001001110001… |
| … | …011100110101001111100000 |
| 3 | 222101110112212220121100121000 |
| 4 | 231300021301130311033200 |
| 5 | 202333301324011413440 |
| 6 | 1551543412410432000 |
| 7 | 60245513652261426 |
| oct | 5560116134651740 |
| 9 | 871415786540530 |
| 10 | 201221121201120 |
| 11 | 5912a442104459 |
| 12 | 1a69a002432600 |
| 13 | 88380bb616217 |
| 14 | 37992232d1116 |
| 15 | 183e353168730 |
| hex | b702717353e0 |
201221121201120 has 384 divisors, whose sum is σ = 705472480903680. Its totient is φ = 53567688130560.
The previous prime is 201221121201091. The next prime is 201221121201137. The reversal of 201221121201120 is 21102121122102.
201221121201120 is a `hidden beast` number, since 2 + 0 + 1 + 221 + 121 + 201 + 120 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 201221121201093 and 201221121201102.
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 63 ways as a sum of consecutive naturals, for example, 18248033047 + ... + 18248044073.
It is an arithmetic number, because the mean of its divisors is an integer number (1837167919020).
Almost surely, 2201221121201120 is an apocalyptic number.
201221121201120 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 201221121201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352736240451840).
201221121201120 is an abundant number, since it is smaller than the sum of its proper divisors (504251359702560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201221121201120 is a wasteful number, since it uses less digits than its factorization.
201221121201120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17855 (or 17841 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
Adding to 201221121201120 its reverse (21102121122102), we get a palindrome (222323242323222).
The spelling of 201221121201120 in words is "two hundred one trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred one thousand, one hundred twenty".
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