| Base | Representation |
|---|---|
| bin | 110000000001100001110001… |
| … | …101111110111011001110000 |
| 3 | 1000200211121002002012122010200 |
| 4 | 300001201301233313121300 |
| 5 | 210140441034322334300 |
| 6 | 2025113032305155200 |
| 7 | 62326335634100565 |
| oct | 6001416157673160 |
| 9 | 1020747062178120 |
| 10 | 211211220121200 |
| 11 | 613311a25475a2 |
| 12 | 1b83219632bb00 |
| 13 | 90b119540a370 |
| 14 | 3a2296b48a86c |
| 15 | 196414dc3d200 |
| hex | c01871bf7670 |
211211220121200 has 720 divisors, whose sum is σ = 826282494535680. Its totient is φ = 49604679936000.
The previous prime is 211211220121183. The next prime is 211211220121217. The reversal of 211211220121200 is 2121022112112.
211211220121200 is a `hidden beast` number, since 2 + 1 + 121 + 1 + 220 + 121 + 200 = 666.
It is an interprime number because it is at equal distance from previous prime (211211220121183) and next prime (211211220121217).
It is a tau number, because it is divible by the number of its divisors (720).
It is a super-2 number, since 2×2112112201212002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
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 143 ways as a sum of consecutive naturals, for example, 101981571 + ... + 104032029.
It is an arithmetic number, because the mean of its divisors is an integer number (1147614575744).
Almost surely, 2211211220121200 is an apocalyptic number.
211211220121200 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 211211220121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413141247267840).
211211220121200 is an abundant number, since it is smaller than the sum of its proper divisors (615071274414480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211211220121200 is a wasteful number, since it uses less digits than its factorization.
211211220121200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2050598 (or 2050584 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
Adding to 211211220121200 its reverse (2121022112112), we get a palindrome (213332242233312).
The spelling of 211211220121200 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred twenty million, one hundred twenty-one thousand, two hundred".
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