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12112010232210 = 23257217161558093
BaseRepresentation
bin1011000001000000110000…
…0100010100000110010010
31120212220012211002110100100
42300100030010110012102
53041420344104412320
641432103010033230
72360030622202200
oct260201404240622
946786184073310
1012112010232210
11394a747020149
12143747b878816
1369b2085072b5
142dc31db62070
151600db74c790
hexb040c114192

12112010232210 has 144 divisors (see below), whose sum is σ = 38787513439896. Its totient is φ = 2605608907776.

The previous prime is 12112010232199. The next prime is 12112010232247. The reversal of 12112010232210 is 1223201021121.

12112010232210 is a `hidden beast` number, since 1 + 21 + 1 + 201 + 0 + 232 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8820953460081 + 3291056772129 = 2970009^2 + 1814127^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80704077 + ... + 80854016.

Almost surely, 212112010232210 is an apocalyptic number.

12112010232210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12112010232210 is an abundant number, since it is smaller than the sum of its proper divisors (26675503207686).

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

12112010232210 is a wasteful number, since it uses less digits than its factorization.

12112010232210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161558137 (or 161558127 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12112010232210 its reverse (1223201021121), we get a palindrome (13335211253331).

The spelling of 12112010232210 in words is "twelve trillion, one hundred twelve billion, ten million, two hundred thirty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 49 51 63 70 85 90 98 102 105 119 126 147 153 170 210 238 245 255 294 306 315 357 441 490 510 595 630 714 735 765 833 882 1071 1190 1470 1530 1666 1785 2142 2205 2499 3570 4165 4410 4998 5355 7497 8330 10710 12495 14994 24990 37485 74970 161558093 323116186 484674279 807790465 969348558 1130906651 1454022837 1615580930 2261813302 2423371395 2746487581 2908045674 3392719953 4846742790 5492975162 5654533255 6785439906 7270114185 7916346557 8239462743 10178159859 11309066510 13732437905 14540228370 15832693114 16478925486 16963599765 19225413067 20356319718 23749039671 24718388229 27464875810 33927199530 38450826134 39581732785 41197313715 47498079342 49436776458 50890799295 57676239201 71247119013 79163465570 82394627430 96127065335 101781598590 115352478402 118745198355 123591941145 134577891469 142494238026 173028717603 192254130670 237490396710 247183882290 269155782938 288381196005 346057435206 356235595065 403733674407 576762392010 672889457345 712471190130 807467348814 865143588015 1211201023221 1345778914690 1730287176030 2018668372035 2422402046442 4037336744070 6056005116105 12112010232210