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12212120121210 = 23351718111469129
BaseRepresentation
bin1011000110110101101100…
…0101001110111101111010
31121020110121122111201222000
42301231123011032331322
53100040410222334320
641550100500241430
72400203502210612
oct261553305167572
947213548451860
1012212120121210
1139891494914a9
12145295a3a0276
136a77a0a106c9
143030d9629a42
151629ea441c90
hexb1b5b14ef7a

12212120121210 has 128 divisors (see below), whose sum is σ = 34500343737600. Its totient is φ = 3063308175360.

The previous prime is 12212120121191. The next prime is 12212120121233. The reversal of 12212120121210 is 1212102121221.

12212120121210 is a `hidden beast` number, since 1 + 2 + 212 + 120 + 121 + 210 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7577926 + ... + 9047054.

It is an arithmetic number, because the mean of its divisors is an integer number (269533935450).

Almost surely, 212212120121210 is an apocalyptic number.

12212120121210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212120121210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17250171868800).

12212120121210 is an abundant number, since it is smaller than the sum of its proper divisors (22288223616390).

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

12212120121210 is a wasteful number, since it uses less digits than its factorization.

12212120121210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470973 (or 1470967 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12212120121210 its reverse (1212102121221), we get a palindrome (13424222242431).

The spelling of 12212120121210 in words is "twelve trillion, two hundred twelve billion, one hundred twenty million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 1811 2295 3622 4590 5433 9055 10866 16299 18110 27165 30787 32598 48897 54330 61574 81495 92361 97794 153935 162990 184722 244485 277083 307870 461805 488970 554166 831249 923610 1385415 1469129 1662498 2770830 2938258 4156245 4407387 7345645 8312490 8814774 13222161 14691290 22036935 24975193 26444322 39666483 44073870 49950386 66110805 74925579 79332966 124875965 132221610 149851158 198332415 224776737 249751930 374627895 396664830 449553474 674330211 749255790 1123883685 1348660422 2247767370 2660592619 3371651055 5321185238 6743302110 7981777857 13302963095 15963555714 23945333571 26605926190 39908889285 45230074523 47890667142 71836000713 79817778570 90460149046 119726667855 135690223569 143672001426 226150372615 239453335710 271380447138 359180003565 407070670707 452300745230 678451117845 718360007130 814141341414 1221212012121 1356902235690 2035353353535 2442424024242 4070706707070 6106060060605 12212120121210