Search a number
-
+
12120231243300 = 22352712203925819
BaseRepresentation
bin1011000001011111011000…
…0100111110111000100100
31120220200102202101002110120
42300113312010332320210
53042034213144241200
641435542442521540
72360441425506435
oct260276604767044
946820382332416
1012120231243300
113953185621494
121438b94b062b0
1369bc187800bb
142dc89d91b48c
1516041d3529a0
hexb05f613ee24

12120231243300 has 144 divisors (see below), whose sum is σ = 35564773708800. Its totient is φ = 3186271670400.

The previous prime is 12120231243299. The next prime is 12120231243347. The reversal of 12120231243300 is 334213202121.

12120231243300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469417791 + ... + 469443609.

It is an arithmetic number, because the mean of its divisors is an integer number (246977595200).

Almost surely, 212120231243300 is an apocalyptic number.

12120231243300 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 12120231243300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17782386854400).

12120231243300 is an abundant number, since it is smaller than the sum of its proper divisors (23444542465500).

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

12120231243300 is a wasteful number, since it uses less digits than its factorization.

12120231243300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47946 (or 47939 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12120231243300 its reverse (334213202121), we get a palindrome (12454444445421).

The spelling of 12120231243300 in words is "twelve trillion, one hundred twenty billion, two hundred thirty-one million, two hundred forty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 1065 1420 1775 2130 3550 4260 5325 7100 10650 21300 22039 25819 44078 51638 66117 77457 88156 103276 110195 129095 132234 154914 220390 258190 264468 309828 330585 387285 440780 516380 550975 645475 661170 774570 1101950 1290950 1322340 1549140 1564769 1652925 1833149 1936425 2203900 2581900 3129538 3305850 3666298 3872850 4694307 5499447 6259076 6611700 7332596 7745700 7823845 9165745 9388614 10998894 15647690 18331490 18777228 21997788 23471535 27497235 31295380 36662980 39119225 45828725 46943070 54994470 78238450 91657450 93886140 109988940 117357675 137486175 156476900 183314900 234715350 274972350 469430700 549944700 569024941 1138049882 1707074823 2276099764 2845124705 3414149646 5690249410 6828299292 8535374115 11380498820 14225623525 17070748230 28451247050 34141496460 40400770811 42676870575 56902494100 80801541622 85353741150 121202312433 161603083244 170707482300 202003854055 242404624866 404007708110 484809249732 606011562165 808015416220 1010019270275 1212023124330 2020038540550 2424046248660 3030057810825 4040077081100 6060115621650 12120231243300