| Base | Representation |
|---|---|
| bin | 11001010010010… |
| … | …11000111000000 |
| 3 | 112210010210221022 |
| 4 | 30221023013000 |
| 5 | 413300320000 |
| 6 | 33014245012 |
| 7 | 5153663441 |
| oct | 1451130700 |
| 9 | 483123838 |
| 10 | 212120000 |
| 11 | a9810994 |
| 12 | 5b056768 |
| 13 | 34c3bac1 |
| 14 | 202592c8 |
| 15 | 13950585 |
| hex | ca4b1c0 |
212120000 has 70 divisors (see below), whose sum is σ = 526087848. Its totient is φ = 84832000.
The previous prime is 212119991. The next prime is 212120003. The reversal of 212120000 is 21212.
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a self number, because there is not a number n which added to its sum of digits gives 212120000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (212120003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 37349 + ... + 42651.
Almost surely, 2212120000 is an apocalyptic number.
212120000 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 212120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263043924).
212120000 is an abundant number, since it is smaller than the sum of its proper divisors (313967848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212120000 is an frugal number, since it uses more digits than its factorization.
212120000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5335 (or 5310 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 8.
The square root of 212120000 is about 14564.3400125100. The cubic root of 212120000 is about 596.3856789304.
Adding to 212120000 its reverse (21212), we get a palindrome (212141212).
Multiplying 212120000 by its reverse (21212), we get a square (4499489440000 = 21212002).
212120000 divided by its reverse (21212) gives a 4-th power (10000 = 104).
The spelling of 212120000 in words is "two hundred twelve million, one hundred twenty thousand".
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