Base | Representation |
---|---|
bin | 1011000111011010100000… |
… | …0010001011110110000100 |
3 | 1121021102010021022120201100 |
4 | 2301312220002023312010 |
5 | 3100221124240232322 |
6 | 41554413152100100 |
7 | 2401003403155446 |
oct | 261665002136604 |
9 | 47242107276640 |
10 | 12222001102212 |
11 | 3992359aa4800 |
12 | 1454857534630 |
13 | 6a86b6b58625 |
14 | 303795a4a496 |
15 | 162dc7b3edac |
hex | b1da808bd84 |
12222001102212 has 108 divisors (see below), whose sum is σ = 33970595297548. Its totient is φ = 3702308860800.
The previous prime is 12222001102189. The next prime is 12222001102217. The reversal of 12222001102212 is 21220110022221.
It is a happy number.
12222001102212 is a `hidden beast` number, since 122 + 220 + 0 + 110 + 2 + 212 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 8581056270336 + 3640944831876 = 2929344^2 + 1908126^2 .
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 (12222001102217) 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 35 ways as a sum of consecutive naturals, for example, 11682162 + ... + 12685302.
Almost surely, 212222001102212 is an apocalyptic number.
12222001102212 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 12222001102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16985297648774).
12222001102212 is an abundant number, since it is smaller than the sum of its proper divisors (21748594195336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12222001102212 is a wasteful number, since it uses less digits than its factorization.
12222001102212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1005970 (or 1005954 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 12222001102212 its reverse (21220110022221), we get a palindrome (33442111124433).
The spelling of 12222001102212 in words is "twelve trillion, two hundred twenty-two billion, one million, one hundred two thousand, two hundred twelve".
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