Base | Representation |
---|---|
bin | 1011000111011010100010… |
… | …1011110000011100000000 |
3 | 1121021102011000211020200010 |
4 | 2301312220223300130000 |
5 | 3100221140033000000 |
6 | 41554414221424520 |
7 | 2401003564614435 |
oct | 261665053603400 |
9 | 47242130736603 |
10 | 12222012000000 |
11 | 3992365168440 |
12 | 145485b10b140 |
13 | 6a86b91a2a1a |
14 | 303797285b8c |
15 | 162dc8a93d50 |
hex | b1da8af0700 |
12222012000000 has 1008 divisors, whose sum is σ = 45219088688256. Its totient is φ = 2905344000000.
The previous prime is 12222011999983. The next prime is 12222012000049. The reversal of 12222012000000 is 21022221.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a self number, because there is not a number n which added to its sum of digits gives 12222012000000.
It is a congruent number.
It is an unprimeable number.
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 111 ways as a sum of consecutive naturals, for example, 6995999127 + ... + 6996000873.
It is an arithmetic number, because the mean of its divisors is an integer number (44860207032).
Almost surely, 212222012000000 is an apocalyptic number.
12222012000000 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 12222012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22609544344128).
12222012000000 is an abundant number, since it is smaller than the sum of its proper divisors (32997076688256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12222012000000 is an frugal number, since it uses more digits than its factorization.
12222012000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1860 (or 1821 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
Adding to 12222012000000 its reverse (21022221), we get a palindrome (12222033022221).
The spelling of 12222012000000 in words is "twelve trillion, two hundred twenty-two billion, twelve million", and thus it is an aban number.
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