| Base | Representation |
|---|---|
| bin | 110000001110110000001111… |
| … | …110011111111001011010000 |
| 3 | 1000211001111002012001111022112 |
| 4 | 300032300033303333023100 |
| 5 | 210300333441141214300 |
| 6 | 2031050344443524452 |
| 7 | 62452113033335300 |
| oct | 6016601763771320 |
| 9 | 1024044065044275 |
| 10 | 212120110101200 |
| 11 | 616516a72129a4 |
| 12 | 1b95a36b829728 |
| 13 | 9148ac0905262 |
| 14 | 3a5494d409600 |
| 15 | 197cae6962e35 |
| hex | c0ec0fcff2d0 |
212120110101200 has 360 divisors, whose sum is σ = 594179911848600. Its totient is φ = 72560455188480.
The previous prime is 212120110101083. The next prime is 212120110101301. The reversal of 212120110101200 is 2101011021212.
It can be written as a sum of positive squares in 12 ways, for example, as 57740180900416 + 154379929200784 = 7598696^2 + 12424972^2 .
It is a super-3 number, since 3×2121201101012003 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16534416386 + ... + 16534429214.
It is an arithmetic number, because the mean of its divisors is an integer number (1650499755135).
Almost surely, 2212120110101200 is an apocalyptic number.
212120110101200 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 212120110101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297089955924300).
212120110101200 is an abundant number, since it is smaller than the sum of its proper divisors (382059801747400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212120110101200 is a wasteful number, since it uses less digits than its factorization.
212120110101200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14727 (or 14709 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 14.
Adding to 212120110101200 its reverse (2101011021212), we get a palindrome (214221121122412).
The spelling of 212120110101200 in words is "two hundred twelve trillion, one hundred twenty billion, one hundred ten million, one hundred one thousand, two hundred".
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