| Base | Representation |
|---|---|
| bin | 1110011100000… |
| … | …10100101011000 |
| 3 | 22102220120221010 |
| 4 | 13032002211120 |
| 5 | 222001333422 |
| 6 | 20004013520 |
| 7 | 3000340530 |
| oct | 716024530 |
| 9 | 272816833 |
| 10 | 121121112 |
| 11 | 624080a2 |
| 12 | 346912a0 |
| 13 | 1c12a2c8 |
| 14 | 1212c4c0 |
| 15 | a977b0c |
| hex | 7382958 |
121121112 has 128 divisors (see below), whose sum is σ = 359976960. Its totient is φ = 33246720.
The previous prime is 121121083. The next prime is 121121113. The reversal of 121121112 is 211121121.
It is a Harshad number since it is a multiple of its sum of digits (12).
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 congruent number.
It is not an unprimeable number, because it can be changed into a prime (121121113) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543033 + ... + 543255.
It is an arithmetic number, because the mean of its divisors is an integer number (2812320).
Almost surely, 2121121112 is an apocalyptic number.
121121112 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 121121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179988480).
121121112 is an abundant number, since it is smaller than the sum of its proper divisors (238855848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121121112 is a wasteful number, since it uses less digits than its factorization.
121121112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 353 (or 349 counting only the distinct ones).
The product of its digits is 8, while the sum is 12.
The square root of 121121112 is about 11005.5037140514. The cubic root of 121121112 is about 494.7737114852.
Adding to 121121112 its reverse (211121121), we get a palindrome (332242233).
Subtracting 121121112 from its reverse (211121121), we obtain a palindrome (90000009).
The spelling of 121121112 in words is "one hundred twenty-one million, one hundred twenty-one thousand, one hundred twelve".
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