| Base | Representation |
|---|---|
| bin | 10110110000111111… |
| … | …01100010010001100 |
| 3 | 1011112210002002012212 |
| 4 | 23120133230102030 |
| 5 | 200012330333400 |
| 6 | 5340442245552 |
| 7 | 611606213060 |
| oct | 133037542214 |
| 9 | 34483062185 |
| 10 | 12222121100 |
| 11 | 5202083532 |
| 12 | 24511b68b8 |
| 13 | 11ca195827 |
| 14 | 83d31baa0 |
| 15 | 4b7ee9335 |
| hex | 2d87ec48c |
12222121100 has 144 divisors (see below), whose sum is σ = 32414800320. Its totient is φ = 3904512000.
The previous prime is 12222121073. The next prime is 12222121103. The reversal of 12222121100 is 112122221.
12222121100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is not an unprimeable number, because it can be changed into a prime (12222121103) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1196816 + ... + 1206984.
It is an arithmetic number, because the mean of its divisors is an integer number (225102780).
Almost surely, 212222121100 is an apocalyptic number.
12222121100 is a gapful number since it is divisible by the number (10) 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 12222121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16207400160).
12222121100 is an abundant number, since it is smaller than the sum of its proper divisors (20192679220).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12222121100 is a wasteful number, since it uses less digits than its factorization.
12222121100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10308 (or 10301 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 14.
Adding to 12222121100 its reverse (112122221), we get a palindrome (12334243321).
It can be divided in two parts, 12222121 and 100, that added together give a palindrome (12222221).
The spelling of 12222121100 in words is "twelve billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred".
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