| Base | Representation |
|---|---|
| bin | 110010010001101110000011… |
| … | …110001001001111110110000 |
| 3 | 1001222220212101211021022202112 |
| 4 | 302101232003301021332300 |
| 5 | 212440312241033014300 |
| 6 | 2102141044155504452 |
| 7 | 64401252013303664 |
| oct | 6221560361117660 |
| 9 | 1058825354238675 |
| 10 | 221120012001200 |
| 11 | 6450151a208044 |
| 12 | 20972658758128 |
| 13 | 964c6b23681c0 |
| 14 | 3c863a10768a4 |
| 15 | 1a86c8b712e35 |
| hex | c91b83c49fb0 |
221120012001200 has 240 divisors, whose sum is σ = 573139302153600. Its totient is φ = 81496917504000.
The previous prime is 221120012001191. The next prime is 221120012001209. The reversal of 221120012001200 is 2100210021122.
It is an interprime number because it is at equal distance from previous prime (221120012001191) and next prime (221120012001209).
221120012001200 is a modest number, since divided by 12001200 gives 2211200 as remainder.
It is not an unprimeable number, because it can be changed into a prime (221120012001209) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 6640024550 + ... + 6640057850.
It is an arithmetic number, because the mean of its divisors is an integer number (2388080425640).
Almost surely, 2221120012001200 is an apocalyptic number.
221120012001200 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 221120012001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286569651076800).
221120012001200 is an abundant number, since it is smaller than the sum of its proper divisors (352019290152400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221120012001200 is a wasteful number, since it uses less digits than its factorization.
221120012001200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 35600 (or 35589 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 14.
Adding to 221120012001200 its reverse (2100210021122), we get a palindrome (223220222022322).
The spelling of 221120012001200 in words is "two hundred twenty-one trillion, one hundred twenty billion, twelve million, one thousand, two hundred".
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