Search a number
-
+
12111331232220 = 22351125771402731
BaseRepresentation
bin1011000000111110001110…
…0110001000100111011100
31120212211110111102200110120
42300033203212020213130
53041413001243412340
641431511352434540
72360005035613323
oct260174346104734
946784414380416
1012111331232220
11394a428814430
1214373103a8a50
1369b12a93b55c
142dc2978d30ba
1516009bd274d0
hexb03e39889dc

12111331232220 has 96 divisors (see below), whose sum is σ = 37138560189696. Its totient is φ = 2924655820800.

The previous prime is 12111331232207. The next prime is 12111331232227. The reversal of 12111331232220 is 2223213311121.

It is a super-2 number, since 2×121113312322202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111331232227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35531746 + ... + 35870985.

It is an arithmetic number, because the mean of its divisors is an integer number (386860001976).

Almost surely, 212111331232220 is an apocalyptic number.

12111331232220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111331232220 is an abundant number, since it is smaller than the sum of its proper divisors (25027228957476).

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

12111331232220 is a wasteful number, since it uses less digits than its factorization.

12111331232220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71403011 (or 71403009 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12111331232220 its reverse (2223213311121), we get a palindrome (14334544543341).

The spelling of 12111331232220 in words is "twelve trillion, one hundred eleven billion, three hundred thirty-one million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 257 330 514 660 771 1028 1285 1542 2570 2827 3084 3855 5140 5654 7710 8481 11308 14135 15420 16962 28270 33924 42405 56540 84810 169620 71402731 142805462 214208193 285610924 357013655 428416386 714027310 785430041 856832772 1071040965 1428054620 1570860082 2142081930 2356290123 3141720164 3927150205 4284163860 4712580246 7854300410 9425160492 11781450615 15708600820 18350501867 23562901230 36701003734 47125802460 55051505601 73402007468 91752509335 110103011202 183505018670 201855520537 220206022404 275257528005 367010037340 403711041074 550515056010 605566561611 807422082148 1009277602685 1101030112020 1211133123222 2018555205370 2422266246444 3027832808055 4037110410740 6055665616110 12111331232220