Base | Representation |
---|---|
bin | 1011000001100110011011… |
… | …0110100110110111100000 |
3 | 1120220212022121121112202111 |
4 | 2300121212312212313200 |
5 | 3042102102031102240 |
6 | 41440454312125104 |
7 | 2360536341644605 |
oct | 260314666466740 |
9 | 46825277545674 |
10 | 12122123300320 |
11 | 3953a66641980 |
12 | 1439422696794 |
13 | 69c15a762477 |
14 | 2dc9dcd186ac |
15 | 1604ce4e21ea |
hex | b0666da6de0 |
12122123300320 has 96 divisors (see below), whose sum is σ = 31270764220416. Its totient is φ = 4403988902400.
The previous prime is 12122123300263. The next prime is 12122123300323. The reversal of 12122123300320 is 2300332122121.
12122123300320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×121221233003203 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 12122123300291 and 12122123300300.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12122123300323) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1255036 + ... + 5081275.
It is an arithmetic number, because the mean of its divisors is an integer number (325737127296).
Almost surely, 212122123300320 is an apocalyptic number.
12122123300320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
12122123300320 is an abundant number, since it is smaller than the sum of its proper divisors (19148640920096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12122123300320 is a wasteful number, since it uses less digits than its factorization.
12122123300320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6337424 (or 6337416 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 22.
Adding to 12122123300320 its reverse (2300332122121), we get a palindrome (14422455422441).
The spelling of 12122123300320 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-three million, three hundred thousand, three hundred twenty".
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