Search a number
-
+
12202001220222 = 23211196734819447
BaseRepresentation
bin1011000110001111111111…
…1100101100001001111110
31121012111111110000022100100
42301203333330230021332
53044404144303021342
641541304425141530
72366364652032552
oct261437774541176
947174443008310
1012202001220222
113984926646410
1214509b562a8a6
136a684a4c2628
14302819795862
15162606de8e4c
hexb18fff2c27e

12202001220222 has 96 divisors (see below), whose sum is σ = 30404162430720. Its totient is φ = 3497761128960.

The previous prime is 12202001220221. The next prime is 12202001220281. The reversal of 12202001220222 is 22202210020221.

12202001220222 is a `hidden beast` number, since 1 + 2 + 20 + 200 + 1 + 220 + 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 = 12202001220195 and 12202001220204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202001220221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122103 + ... + 4941549.

It is an arithmetic number, because the mean of its divisors is an integer number (316710025320).

Almost surely, 212202001220222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202001220222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15202081215360).

12202001220222 is an abundant number, since it is smaller than the sum of its proper divisors (18202161210498).

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

12202001220222 is a wasteful number, since it uses less digits than its factorization.

12202001220222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4820158 (or 4820155 counting only the distinct ones).

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

Adding to 12202001220222 its reverse (22202210020221), we get a palindrome (34404211240443).

The spelling of 12202001220222 in words is "twelve trillion, two hundred two billion, one million, two hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 673 1254 1346 1881 2019 3762 4038 6057 7403 12114 12787 14806 22209 25574 38361 44418 66627 76722 115083 133254 140657 230166 281314 421971 843942 1265913 2531826 4819447 9638894 14458341 28916682 43375023 53013917 86750046 91569493 106027834 159041751 183138986 274708479 318083502 477125253 549416958 824125437 954250506 1007264423 1648250874 2014528846 3021793269 3243487831 6043586538 6486975662 9065379807 9730463493 18130759614 19460926986 29191390479 35678366141 58382780958 61626268789 71356732282 107035098423 123252537578 184878806367 214070196846 321105295269 369757612734 554636419101 642210590538 677888956679 1109272838202 1355777913358 2033666870037 4067333740074 6101000610111 12202001220222