Base | Representation |
---|---|
bin | 1011000000111101011100… |
… | …1000011001011100000100 |
3 | 1120212210220220221012000000 |
4 | 2300033113020121130010 |
5 | 3041412034230011322 |
6 | 41431434522321300 |
7 | 2356666616244216 |
oct | 260172710313404 |
9 | 46783826835000 |
10 | 12111122110212 |
11 | 394a330770a24 |
12 | 1437272359230 |
13 | 69b0c650c218 |
14 | 2dc277c185b6 |
15 | 1600887ba3ac |
hex | b03d7219704 |
12111122110212 has 168 divisors, whose sum is σ = 31970244884760. Its totient is φ = 4012535439360.
The previous prime is 12111122110211. The next prime is 12111122110247. The reversal of 12111122110212 is 21201122111121.
It is a happy number.
12111122110212 is a `hidden beast` number, since 1 + 211 + 11 + 221 + 10 + 212 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 198518366916 + 11912603743296 = 445554^2 + 3451464^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (12111122110211) by changing a digit.
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 55 ways as a sum of consecutive naturals, for example, 1168007364 + ... + 1168017732.
It is an arithmetic number, because the mean of its divisors is an integer number (190299076695).
Almost surely, 212111122110212 is an apocalyptic number.
12111122110212 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 12111122110212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15985122442380).
12111122110212 is an abundant number, since it is smaller than the sum of its proper divisors (19859122774548).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12111122110212 is a wasteful number, since it uses less digits than its factorization.
12111122110212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12785 (or 12768 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 18.
Adding to 12111122110212 its reverse (21201122111121), we get a palindrome (33312244221333).
Subtracting 12111122110212 from its reverse (21201122111121), we obtain a palindrome (9090000000909).
The spelling of 12111122110212 in words is "twelve trillion, one hundred eleven billion, one hundred twenty-two million, one hundred ten thousand, two hundred twelve".
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