| Base | Representation |
|---|---|
| bin | 1100010010100001110… |
| … | …1001000000001110000 |
| 3 | 202011222011100000221121 |
| 4 | 3010220131020001300 |
| 5 | 11424344310334300 |
| 6 | 240554234032024 |
| 7 | 21153023263600 |
| oct | 3045035100160 |
| 9 | 664864300847 |
| 10 | 211132121200 |
| 11 | 815a463a670 |
| 12 | 34b03878614 |
| 13 | 16ba9725940 |
| 14 | a30c744c00 |
| 15 | 575a91081a |
| hex | 3128748070 |
211132121200 has 360 divisors, whose sum is σ = 693227036880. Its totient is φ = 60744499200.
The previous prime is 211132121183. The next prime is 211132121227. The reversal of 211132121200 is 2121231112.
211132121200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2111321212002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2765136 + ... + 2840464.
It is an arithmetic number, because the mean of its divisors is an integer number (1925630658).
Almost surely, 2211132121200 is an apocalyptic number.
211132121200 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 211132121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346613518440).
211132121200 is an abundant number, since it is smaller than the sum of its proper divisors (482094915680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211132121200 is a wasteful number, since it uses less digits than its factorization.
211132121200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 75385 (or 75367 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 16.
Adding to 211132121200 its reverse (2121231112), we get a palindrome (213253352312).
The spelling of 211132121200 in words is "two hundred eleven billion, one hundred thirty-two million, one hundred twenty-one thousand, two hundred".
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