Search a number
-
+
12020202212202 = 2336116342835227
BaseRepresentation
bin1010111011101010101111…
…1000100000101101101010
31120120010020120002211001000
42232322223320200231222
53033414333231242302
641322001001335430
72350300546666242
oct256725370405552
946503216084030
1012020202212202
113914814867948
121421719497576
13692666c476c2
142d7ad0aa0b22
1515ca167d131c
hexaeeabe20b6a

12020202212202 has 128 divisors (see below), whose sum is σ = 27327620920320. Its totient is φ = 3915207990720.

The previous prime is 12020202212173. The next prime is 12020202212203. The reversal of 12020202212202 is 20221220202021.

12020202212202 is a `hidden beast` number, since 1 + 20 + 202 + 0 + 221 + 220 + 2 = 666.

It is a super-2 number, since 2×120202022122022 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12020202212203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2299634313 + ... + 2299639539.

It is an arithmetic number, because the mean of its divisors is an integer number (213497038440).

Almost surely, 212020202212202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12020202212202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13663810460160).

12020202212202 is an abundant number, since it is smaller than the sum of its proper divisors (15307418708118).

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

12020202212202 is a wasteful number, since it uses less digits than its factorization.

12020202212202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9745 (or 9739 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12020202212202 its reverse (20221220202021), we get a palindrome (32241422414223).

The spelling of 12020202212202 in words is "twelve trillion, twenty billion, two hundred two million, two hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 61 122 163 183 326 366 489 549 978 1098 1467 1647 2934 3294 4283 4401 5227 8566 8802 9943 10454 12849 15681 19886 25698 29829 31362 38547 47043 59658 77094 89487 94086 115641 141129 178974 231282 261263 268461 282258 318847 522526 536922 637694 698129 783789 852001 956541 1396258 1567578 1704002 1913082 2094387 2351367 2556003 2869623 4188774 4702734 5112006 5739246 6283161 7054101 7668009 8608869 12566322 14108202 15336018 17217738 18849483 22387241 23004027 37698966 42585869 44774482 46008054 51972061 67161723 85171738 103944122 127757607 134323446 155916183 201485169 255515214 311832366 383272821 402970338 467748549 604455507 766545642 935497098 1149818463 1208911014 1365621701 1403245647 2299636926 2731243402 2806491294 3649120283 4096865103 7298240566 8193730206 10947360849 12290595309 21894721698 24581190618 32842082547 36871785927 65684165094 73743571854 98526247641 197052495282 222596337263 445192674526 667789011789 1335578023578 2003367035367 4006734070734 6010101106101 12020202212202