Search a number
-
+
12022212002202 = 232171011632386459
BaseRepresentation
bin1010111011110010001110…
…1011010000000110011010
31120120022102121212201121200
42232330203223100012122
53033432442233032302
641322532234215030
72350401422634303
oct256744353200632
946508377781550
1012022212002202
113915656290916
121421b9a584476
136928c743bb5c
142d7c419877aa
1515cad2e7981c
hexaef23ad019a

12022212002202 has 96 divisors (see below), whose sum is σ = 28024333421760. Its totient is φ = 3711419481600.

The previous prime is 12022212002179. The next prime is 12022212002243. The reversal of 12022212002202 is 20220021222021.

12022212002202 is a `hidden beast` number, since 1 + 20 + 2 + 221 + 200 + 220 + 2 = 666.

12022212002202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 3844449 + ... + 6230907.

It is an arithmetic number, because the mean of its divisors is an integer number (291920139810).

Almost surely, 212022212002202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12022212002202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14012166710880).

12022212002202 is an abundant number, since it is smaller than the sum of its proper divisors (16002121419558).

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

12022212002202 is a wasteful number, since it uses less digits than its factorization.

12022212002202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386748 (or 2386745 counting only the distinct ones).

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

Adding to 12022212002202 its reverse (20220021222021), we get a palindrome (32242233224223).

The spelling of 12022212002202 in words is "twelve trillion, twenty-two billion, two hundred twelve million, two thousand, two hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 101 102 153 163 202 303 306 326 489 606 909 978 1467 1717 1818 2771 2934 3434 5151 5542 8313 10302 15453 16463 16626 24939 30906 32926 49389 49878 98778 148167 279871 296334 559742 839613 1679226 2386459 2518839 4772918 5037678 7159377 14318754 21478131 40569803 42956262 81139606 121709409 241032359 243418818 365128227 388992817 482064718 723097077 730256454 777985634 1166978451 1446194154 2169291231 2333956902 3500935353 4097550103 4338582462 6612877889 7001870706 8195100206 12292650309 13225755778 19838633667 24585300618 36877950927 39288274517 39677267334 59515901001 73755901854 78576549034 117864823551 119031802002 235729647102 353594470653 667900666789 707188941306 1335801333578 2003702000367 4007404000734 6011106001101 12022212002202