| Base | Representation |
|---|---|
| bin | 11110111000010111100… |
| … | …111101011010011110000 |
| 3 | 21111212112111120201120120 |
| 4 | 132320113213223103300 |
| 5 | 234232040142334300 |
| 6 | 4302514532410240 |
| 7 | 306213603260226 |
| oct | 36702747532360 |
| 9 | 7455474521516 |
| 10 | 2122110121200 |
| 11 | 748a88927223 |
| 12 | 2a3342476980 |
| 13 | 125163971364 |
| 14 | 749d4158b16 |
| 15 | 3a3033493a0 |
| hex | 1ee179eb4f0 |
2122110121200 has 240 divisors, whose sum is σ = 7206767118336. Its totient is φ = 532839859200.
The previous prime is 2122110121177. The next prime is 2122110121223. The reversal of 2122110121200 is 21210112212.
It is an interprime number because it is at equal distance from previous prime (2122110121177) and next prime (2122110121223).
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 2122110121200.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 605509 + ... + 2147291.
Almost surely, 22122110121200 is an apocalyptic number.
2122110121200 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 2122110121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603383559168).
2122110121200 is an abundant number, since it is smaller than the sum of its proper divisors (5084656997136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122110121200 is a wasteful number, since it uses less digits than its factorization.
2122110121200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1541872 (or 1541861 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 15.
Adding to 2122110121200 its reverse (21210112212), we get a palindrome (2143320233412).
It can be divided in two parts, 212211012 and 1200, that added together give a palindrome (212212212).
The spelling of 2122110121200 in words is "two trillion, one hundred twenty-two billion, one hundred ten million, one hundred twenty-one thousand, two hundred".
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