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12021110202222 = 23311238311105871
BaseRepresentation
bin1010111011101110001000…
…0000001101111101101110
31120120012120211122111012000
42232323202000031331232
53033423213202432342
641322231034553130
72350332213533412
oct256734200157556
946505524574160
1012021110202222
113915140357220
1214219315987a6
136927800aaac4
142d7b794dad42
1515ca6b38a44c
hexaeee200df6e

12021110202222 has 128 divisors (see below), whose sum is σ = 30413078691840. Its totient is φ = 3483927612000.

The previous prime is 12021110202221. The next prime is 12021110202259. The reversal of 12021110202222 is 22220201112021.

It is a happy number.

12021110202222 is a `hidden beast` number, since 1 + 20 + 211 + 10 + 202 + 222 = 666.

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 = 12021110202195 and 12021110202204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021110202221) 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, 113491947 + ... + 113597817.

It is an arithmetic number, because the mean of its divisors is an integer number (237602177280).

Almost surely, 212021110202222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021110202222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15206539345920).

12021110202222 is an abundant number, since it is smaller than the sum of its proper divisors (18391968489618).

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

12021110202222 is a wasteful number, since it uses less digits than its factorization.

12021110202222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114227 (or 114221 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12021110202222 its reverse (22220201112021), we get a palindrome (34241311314243).

The spelling of 12021110202222 in words is "twelve trillion, twenty-one billion, one hundred ten million, two hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 594 621 759 1242 1518 2277 4554 6831 8311 13662 16622 24933 49866 74799 91421 105871 149598 182842 191153 211742 224397 274263 317613 382306 448794 548526 573459 635226 822789 952839 1146918 1164581 1645578 1720377 1905678 2102683 2329162 2435033 2468367 2858517 3440754 3493743 4205366 4870066 4936734 5161131 5717034 6308049 6987486 7305099 10322262 10481229 12616098 14610198 18924147 20962458 21915297 26785363 31443687 37848294 43830594 53570726 56772441 62887374 65745891 80356089 113544882 131491782 160712178 241068267 482136534 723204801 879893881 1446409602 1759787762 2639681643 5279363286 7919044929 9678832691 15838089858 19357665382 20237559263 23757134787 29036498073 40475118526 47514269574 58072996146 60712677789 87109494219 121425355578 174218988438 182138033367 222613151893 261328482657 364276066734 445226303786 522656965314 546414100101 667839455679 1092828200202 1335678911358 2003518367037 4007036734074 6010555101111 12021110202222