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12043130040 = 2332546372253
BaseRepresentation
bin10110011011101001…
…11001010010111000
31011002022021101122100
423031310321102320
5144131020130130
65311010023400
7604303626204
oct131564712270
934068241570
1012043130040
11512003a937
122401277b60
13119c085c66
14823647b04
154a743ec60
hex2cdd394b8

12043130040 has 96 divisors (see below), whose sum is σ = 39225251520. Its totient is φ = 3204520704.

The previous prime is 12043130009. The next prime is 12043130041. The reversal of 12043130040 is 4003134021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12043129995 and 12043130022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12043130041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130554 + ... + 202806.

It is an arithmetic number, because the mean of its divisors is an integer number (408596370).

Almost surely, 212043130040 is an apocalyptic number.

12043130040 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 12043130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19612625760).

12043130040 is an abundant number, since it is smaller than the sum of its proper divisors (27182121480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12043130040 is a wasteful number, since it uses less digits than its factorization.

12043130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72733 (or 72726 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12043130040 its reverse (4003134021), we get a palindrome (16046264061).

The spelling of 12043130040 in words is "twelve billion, forty-three million, one hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 463 926 1389 1852 2315 2778 3704 4167 4630 5556 6945 8334 9260 11112 13890 16668 18520 20835 27780 33336 41670 55560 72253 83340 144506 166680 216759 289012 361265 433518 578024 650277 722530 867036 1083795 1300554 1445060 1734072 2167590 2601108 2890120 3251385 4335180 5202216 6502770 8670360 13005540 26011080 33453139 66906278 100359417 133812556 167265695 200718834 267625112 301078251 334531390 401437668 501797085 602156502 669062780 802875336 1003594170 1204313004 1338125560 1505391255 2007188340 2408626008 3010782510 4014376680 6021565020 12043130040