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12232402020 = 223251737108041
BaseRepresentation
bin10110110010001101…
…11010010001100100
31011120111102101222200
423121012322101210
5200022443331040
65341450454500
7612062462436
oct133106722144
934514371880
1012232402020
115207965763
122454734430
1311cc355207
14840836656
154b8d7a630
hex2d91ba464

12232402020 has 144 divisors (see below), whose sum is σ = 40349797488. Its totient is φ = 2987089920.

The previous prime is 12232402009. The next prime is 12232402079. The reversal of 12232402020 is 2020423221.

12232402020 is a `hidden beast` number, since 1 + 223 + 240 + 202 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1116495396 + 11115906624 = 33414^2 + 105432^2 .

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 = 12232401984 and 12232402002.

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, 59200 + ... + 167240.

It is an arithmetic number, because the mean of its divisors is an integer number (280206927).

Almost surely, 212232402020 is an apocalyptic number.

12232402020 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 12232402020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20174898744).

12232402020 is an abundant number, since it is smaller than the sum of its proper divisors (28117395468).

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

12232402020 is a wasteful number, since it uses less digits than its factorization.

12232402020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108110 (or 108105 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12232402020 its reverse (2020423221), we get a palindrome (14252825241).

The spelling of 12232402020 in words is "twelve billion, two hundred thirty-two million, four hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 37 45 51 60 68 74 85 90 102 111 148 153 170 180 185 204 222 255 306 333 340 370 444 510 555 612 629 666 740 765 1020 1110 1258 1332 1530 1665 1887 2220 2516 3060 3145 3330 3774 5661 6290 6660 7548 9435 11322 12580 18870 22644 28305 37740 56610 108041 113220 216082 324123 432164 540205 648246 972369 1080410 1296492 1620615 1836697 1944738 2160820 3241230 3673394 3889476 3997517 4861845 5510091 6482460 7346788 7995034 9183485 9723690 11020182 11992551 15990068 16530273 18366970 19447380 19987585 22040364 23985102 27550455 33060546 35977653 36733940 39975170 47970204 55100910 59962755 66121092 67957789 71955306 79950340 82651365 110201820 119925510 135915578 143910612 165302730 179888265 203873367 239851020 271831156 330605460 339788945 359776530 407746734 611620101 679577890 719553060 815493468 1019366835 1223240202 1359155780 2038733670 2446480404 3058100505 4077467340 6116201010 12232402020