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1212111131112 = 23347267220267
BaseRepresentation
bin10001101000110111011…
…101000001000111101000
311021212200002221022120000
4101220313131001013220
5124324400422143422
62324500340103000
7153400146422130
oct21506735010750
94255602838500
101212111131112
11428065152162
12176ab9694a60
138a3bc78c68b
1442948bd3ac0
15217e30adcac
hex11a377411e8

1212111131112 has 80 divisors (see below), whose sum is σ = 3880038291360. Its totient is φ = 346317464736.

The previous prime is 1212111131111. The next prime is 1212111131123. The reversal of 1212111131112 is 2111311112121.

1212111131112 is a `hidden beast` number, since 121 + 211 + 11 + 311 + 12 = 666.

It is a super-2 number, since 2×12121111311122 (a number of 25 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (1212111131111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 133605598 + ... + 133614669.

It is an arithmetic number, because the mean of its divisors is an integer number (48500478642).

Almost surely, 21212111131112 is an apocalyptic number.

1212111131112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1212111131112 is an abundant number, since it is smaller than the sum of its proper divisors (2667927160248).

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

1212111131112 is a wasteful number, since it uses less digits than its factorization.

1212111131112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267220292 (or 267220279 counting only the distinct ones).

The product of its digits is 24, while the sum is 18.

Adding to 1212111131112 its reverse (2111311112121), we get a palindrome (3323422243233).

The spelling of 1212111131112 in words is "one trillion, two hundred twelve billion, one hundred eleven million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 267220267 534440534 801660801 1068881068 1603321602 1870541869 2137762136 2404982403 3206643204 3741083738 4809964806 5611625607 6413286408 7214947209 7482167476 9619929612 11223251214 14429894418 14964334952 16834876821 19239859224 21644841627 22446502428 28859788836 33669753642 43289683254 44893004856 50504630463 57719577672 67339507284 86579366508 101009260926 134679014568 151513891389 173158733016 202018521852 303027782778 404037043704 606055565556 1212111131112