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12012122012202 = 232131511420723929
BaseRepresentation
bin1010111011001100101001…
…0000111111101000101010
31120112100101102210010102100
42232303022100333220222
53033301311213342302
641314143114514230
72346563403300654
oct256631220775052
946470342703370
1012012122012202
1139113487a2004
121420043435976
13691979c04180
142d75658bb6d4
1515c6e2242d1c
hexaecca43fa2a

12012122012202 has 96 divisors (see below), whose sum is σ = 28217067540480. Its totient is φ = 3671148614400.

The previous prime is 12012122012153. The next prime is 12012122012213. The reversal of 12012122012202 is 20221022121021.

It is a happy number.

12012122012202 is a `hidden beast` number, since 1 + 201 + 21 + 220 + 1 + 220 + 2 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501978174 + ... + 502002102.

It is an arithmetic number, because the mean of its divisors is an integer number (293927786880).

Almost surely, 212012122012202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12012122012202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14108533770240).

12012122012202 is an abundant number, since it is smaller than the sum of its proper divisors (16204945528278).

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

12012122012202 is a wasteful number, since it uses less digits than its factorization.

12012122012202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38308 (or 38305 counting only the distinct ones).

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

Adding to 12012122012202 its reverse (20221022121021), we get a palindrome (32233144133223).

The spelling of 12012122012202 in words is "twelve trillion, twelve billion, one hundred twenty-two million, twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 151 234 302 453 906 1359 1963 2718 3926 5889 11778 14207 17667 23929 28414 35334 42621 47858 71787 85242 127863 143574 184691 215361 255726 311077 369382 430722 554073 622154 933231 1108146 1662219 1866462 2145257 2799693 3324438 3613279 4290514 5599386 6435771 7226558 10839837 12871542 19307313 21679674 27888341 32519511 38614626 46972627 55776682 65039022 83665023 93945254 140917881 167330046 250995069 281835762 339959303 422753643 501990138 679918606 845507286 1019877909 2039755818 3059633727 4419470939 6119267454 8838941878 13258412817 26516825634 39775238451 51333854753 79550476902 102667709506 154001564259 308003128518 462004692777 667340111789 924009385554 1334680223578 2002020335367 4004040670734 6006061006101 12012122012202