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110120021212212 = 22331193701989249
BaseRepresentation
bin11001000010011101010000…
…101111110011110000110100
3112102220101000121122002022000
4121002131100233303300310
5103413201300412242322
61030112234522535300
732123623532140254
oct3102352057636064
9472811017562260
10110120021212212
11320a6703173370
1210425bb8367530
13495a3729a491b
141d29ba2009964
15cae71b4a83ac
hex642750bf3c34

110120021212212 has 96 divisors (see below), whose sum is σ = 311454203760000. Its totient is φ = 33369313536000.

The previous prime is 110120021212181. The next prime is 110120021212213. The reversal of 110120021212212 is 212212120021011.

110120021212212 is a `hidden beast` number, since 110 + 120 + 0 + 212 + 1 + 221 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110120021212213) 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 31 ways as a sum of consecutive naturals, for example, 110822164 + ... + 111811412.

It is an arithmetic number, because the mean of its divisors is an integer number (3244314622500).

Almost surely, 2110120021212212 is an apocalyptic number.

110120021212212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110120021212212 is an abundant number, since it is smaller than the sum of its proper divisors (201334182547788).

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

110120021212212 is a wasteful number, since it uses less digits than its factorization.

110120021212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082974 (or 1082966 counting only the distinct ones).

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

Adding to 110120021212212 its reverse (212212120021011), we get a palindrome (322332141233223).

The spelling of 110120021212212 in words is "one hundred ten trillion, one hundred twenty billion, twenty-one million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 93701 187402 281103 374804 562206 843309 989249 1030711 1124412 1686618 1978498 2061422 2529927 2967747 3092133 3373236 3956996 4122844 5059854 5935494 6184266 8903241 9276399 10119708 10881739 11870988 12368532 17806482 18552798 21763478 26709723 27829197 32645217 35612964 37105596 43526956 53419446 55658394 65290434 97935651 106838892 111316788 130580868 195871302 293806953 391742604 587613906 1175227812 92693620549 185387241098 278080861647 370774482196 556161723294 834242584941 1019629826039 1112323446588 1668485169882 2039259652078 2502727754823 3058889478117 3336970339764 4078519304156 5005455509646 6117778956234 9176668434351 10010911019292 12235557912468 18353336868702 27530005303053 36706673737404 55060010606106 110120021212212