Base | Representation |
---|---|
bin | 10110101111101011… |
… | …01100100010110000 |
3 | 1011112000100202201120 |
4 | 23113311230202300 |
5 | 200002021041422 |
6 | 5335410302240 |
7 | 611413511643 |
oct | 132765544260 |
9 | 34460322646 |
10 | 12211112112 |
11 | 51a69442a1 |
12 | 2449587980 |
13 | 11c7b0c934 |
14 | 83ba93a5a |
15 | 4b707245c |
hex | 2d7d6c8b0 |
12211112112 has 80 divisors (see below), whose sum is σ = 32274934272. Its totient is φ = 3976549120.
The previous prime is 12211112027. The next prime is 12211112129. The reversal of 12211112112 is 21121111221.
It is a happy number.
It is a super-2 number, since 2×122111121122 (a number of 21 digits) contains 22 as substring.
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 = 12211112091 and 12211112100.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1319662 + ... + 1328882.
Almost surely, 212211112112 is an apocalyptic number.
12211112112 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 12211112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16137467136).
12211112112 is an abundant number, since it is smaller than the sum of its proper divisors (20063822160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12211112112 is a wasteful number, since it uses less digits than its factorization.
12211112112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9866 (or 9860 counting only the distinct ones).
The product of its digits is 16, while the sum is 15.
Adding to 12211112112 its reverse (21121111221), we get a palindrome (33332223333).
The spelling of 12211112112 in words is "twelve billion, two hundred eleven million, one hundred twelve thousand, one hundred twelve".
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