| Base | Representation |
|---|---|
| bin | 111000011100010111… |
| … | …1101100011011001000 |
| 3 | 102120212102002102121120 |
| 4 | 1300320233230123020 |
| 5 | 3441220021023422 |
| 6 | 131403354435240 |
| 7 | 11520503305410 |
| oct | 1607057543310 |
| 9 | 376772072546 |
| 10 | 121211111112 |
| 11 | 4745056a8a3 |
| 12 | 1b5a9432b20 |
| 13 | b57909c070 |
| 14 | 5c1c129640 |
| 15 | 324648845c |
| hex | 1c38bec6c8 |
121211111112 has 256 divisors, whose sum is σ = 386782556160. Its totient is φ = 30799678464.
The previous prime is 121211111081. The next prime is 121211111129. The reversal of 121211111112 is 211111112121.
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 121211111091 and 121211111100.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8315943 + ... + 8330505.
It is an arithmetic number, because the mean of its divisors is an integer number (1510869360).
Almost surely, 2121211111112 is an apocalyptic number.
121211111112 is a gapful number since it is divisible by the number (12) 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 121211111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193391278080).
121211111112 is an abundant number, since it is smaller than the sum of its proper divisors (265571445048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121211111112 is a wasteful number, since it uses less digits than its factorization.
121211111112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14732 (or 14728 counting only the distinct ones).
The product of its digits is 8, while the sum is 15.
Adding to 121211111112 its reverse (211111112121), we get a palindrome (332322223233).
It can be divided in two parts, 121 and 211111112, that multiplied together give a palindrome (25544444552).
The spelling of 121211111112 in words is "one hundred twenty-one billion, two hundred eleven million, one hundred eleven thousand, one hundred twelve".
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