Search a number
-
+
12102102202120 = 23571922710021283
BaseRepresentation
bin1011000000011011110110…
…0000001011011100001000
31120211221122022101101012221
42300012331200023130020
53041240101130431440
641423343510343424
72356230242266120
oct260067540133410
946757568341187
1012102102202120
113946522212527
12143557565ab74
1369a2b98ab5b8
142dba5dcddc80
1515ec0b9a9d4a
hexb01bd80b708

12102102202120 has 128 divisors (see below), whose sum is σ = 32901879628800. Its totient is φ = 3913591216896.

The previous prime is 12102102202117. The next prime is 12102102202123. The reversal of 12102102202120 is 2120220120121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12102102202117) and next prime (12102102202123).

It is a junction number, because it is equal to n+sod(n) for n = 12102102202094 and 12102102202103.

It is not an unprimeable number, because it can be changed into a prime (12102102202123) 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, 3803002 + ... + 6218281.

It is an arithmetic number, because the mean of its divisors is an integer number (257045934600).

Almost surely, 212102102202120 is an apocalyptic number.

12102102202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102102202120 is an abundant number, since it is smaller than the sum of its proper divisors (20799777426680).

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

12102102202120 is a wasteful number, since it uses less digits than its factorization.

12102102202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10021547 (or 10021543 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12102102202120 its reverse (2120220120121), we get a palindrome (14222322322241).

The spelling of 12102102202120 in words is "twelve trillion, one hundred two billion, one hundred two million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 227 266 280 380 454 532 665 760 908 1064 1135 1330 1589 1816 2270 2660 3178 4313 4540 5320 6356 7945 8626 9080 12712 15890 17252 21565 30191 31780 34504 43130 60382 63560 86260 120764 150955 172520 241528 301910 603820 1207640 10021283 20042566 40085132 50106415 70148981 80170264 100212830 140297962 190404377 200425660 280595924 350744905 380808754 400851320 561191848 701489810 761617508 952021885 1332830639 1402979620 1523235016 1904043770 2274831241 2665661278 2805959240 3808087540 4549662482 5331322556 6664153195 7616175080 9099324964 10662645112 11374156205 13328306390 15923818687 18198649928 22748312410 26656612780 31847637374 43221793579 45496624820 53313225560 63695274748 79619093435 86443587158 90993249640 127390549496 159238186870 172887174316 216108967895 302552555053 318476373740 345774348632 432217935790 605105110106 636952747480 864435871580 1210210220212 1512762775265 1728871743160 2420420440424 3025525550530 6051051101060 12102102202120