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12022220012202 = 23213736541133417
BaseRepresentation
bin1010111011110010010000…
…1001110011101010101010
31120120022110011221200021100
42232330210021303222222
53033433001310342302
641322533122022230
72350401551005131
oct256744411635252
946508404850240
1012022220012202
11391565a861954
121421ba11a7976
136928c8cb49ba
142d7c42a70918
1515cad3a0cd1c
hexaef24273aaa

12022220012202 has 48 divisors (see below), whose sum is σ = 26239190512392. Its totient is φ = 3978016842240.

The previous prime is 12022220012197. The next prime is 12022220012207. The reversal of 12022220012202 is 20221002222021.

12022220012202 is a `hidden beast` number, since 1 + 20 + 222 + 200 + 1 + 220 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12022220012197) and next prime (12022220012207).

It can be written as a sum of positive squares in 4 ways, for example, as 11985921760761 + 36298251441 = 3462069^2 + 190521^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12022220012207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 90043398 + ... + 90176814.

Almost surely, 212022220012202 is an apocalyptic number.

12022220012202 is an abundant number, since it is smaller than the sum of its proper divisors (14216970500190).

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

12022220012202 is a wasteful number, since it uses less digits than its factorization.

12022220012202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170103 (or 170100 counting only the distinct ones).

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

Adding to 12022220012202 its reverse (20221002222021), we get a palindrome (32243222234223).

The spelling of 12022220012202 in words is "twelve trillion, twenty-two billion, two hundred twenty million, twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 18 137 274 411 822 1233 2466 36541 73082 109623 133417 219246 266834 328869 400251 657738 800502 1200753 2401506 5006117 10012234 15018351 18278129 30036702 36556258 45055053 54834387 90110106 109668774 164503161 329006322 4875190597 9750381194 14625571791 29251143582 43876715373 87753430746 667901111789 1335802223578 2003703335367 4007406670734 6011110006101 12022220012202