Base | Representation |
---|---|
bin | 101110101000… |
… | …001010010000 |
3 | 211222222222011 |
4 | 232220022100 |
5 | 11112114440 |
6 | 1113552304 |
7 | 205615630 |
oct | 56501220 |
9 | 24888864 |
10 | 12223120 |
11 | 6999458 |
12 | 4115694 |
13 | 26bc720 |
14 | 18a26c0 |
15 | 11169ea |
hex | ba8290 |
12223120 has 160 divisors (see below), whose sum is σ = 36997632. Its totient is φ = 3649536.
The previous prime is 12223109. The next prime is 12223139. The reversal of 12223120 is 2132221.
It is a Harshad number since it is a multiple of its sum of digits (13).
It is a self number, because there is not a number n which added to its sum of digits gives 12223120.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167404 + ... + 167476.
Almost surely, 212223120 is an apocalyptic number.
12223120 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 12223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18498816).
12223120 is an abundant number, since it is smaller than the sum of its proper divisors (24774512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12223120 is a wasteful number, since it uses less digits than its factorization.
12223120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 129 (or 123 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 13.
The square root of 12223120 is about 3496.1578911714. The cubic root of 12223120 is about 230.3530808845.
Adding to 12223120 its reverse (2132221), we get a palindrome (14355341).
The spelling of 12223120 in words is "twelve million, two hundred twenty-three thousand, one hundred twenty".
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