Base | Representation |
---|---|
bin | 1011000010000011110110… |
… | …1010111100100110000000 |
3 | 1120221121201002222221011111 |
4 | 2300200331222330212000 |
5 | 3042214241202443240 |
6 | 41444242203253104 |
7 | 2361236155306243 |
oct | 260407552744600 |
9 | 46847632887144 |
10 | 12130022312320 |
11 | 395734a403570 |
12 | 143aa67b1a194 |
13 | 69cb190a7173 |
14 | 2dd14c01525a |
15 | 1607e2be01ea |
hex | b083dabc980 |
12130022312320 has 128 divisors (see below), whose sum is σ = 31724169605280. Its totient is φ = 4398420787200.
The previous prime is 12130022312293. The next prime is 12130022312339. The reversal of 12130022312320 is 2321322003121.
It is a tau number, because it is divible by the number of its divisors (128).
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 = 12130022312291 and 12130022312300.
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 15 ways as a sum of consecutive naturals, for example, 44590 + ... + 4925650.
Almost surely, 212130022312320 is an apocalyptic number.
12130022312320 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 12130022312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15862084802640).
12130022312320 is an abundant number, since it is smaller than the sum of its proper divisors (19594147292960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12130022312320 is a wasteful number, since it uses less digits than its factorization.
12130022312320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4881444 (or 4881432 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 22.
Adding to 12130022312320 its reverse (2321322003121), we get a palindrome (14451344315441).
The spelling of 12130022312320 in words is "twelve trillion, one hundred thirty billion, twenty-two million, three hundred twelve thousand, three hundred twenty".
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