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111222121000212 = 223237113738938857
BaseRepresentation
bin11001010010011111101011…
…000000110110110100010100
3112120210201201211211010122200
4121102133223000312310110
5104034230400434001322
61032314423110124500
732266350561566565
oct3122375300666424
9476721654733580
10111222121000212
1132491044828142
1210583713350730
134a0a27c7c53b1
141d6727230616c
15ccd22147d8ac
hex6527eb036d14

111222121000212 has 72 divisors (see below), whose sum is σ = 291298565089896. Its totient is φ = 35752817608704.

The previous prime is 111222121000201. The next prime is 111222121000213. The reversal of 111222121000212 is 212000121222111.

111222121000212 is a `hidden beast` number, since 11 + 12 + 221 + 210 + 0 + 0 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35345504016 + 111186775496196 = 188004^2 + 10544514^2 .

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 (111222121000213) 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, 369318913 + ... + 369619944.

Almost surely, 2111222121000212 is an apocalyptic number.

111222121000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111222121000212 is an abundant number, since it is smaller than the sum of its proper divisors (180076444089684).

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

111222121000212 is a wasteful number, since it uses less digits than its factorization.

111222121000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738939017 (or 738939012 counting only the distinct ones).

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

Adding to 111222121000212 its reverse (212000121222111), we get a palindrome (323222242222323).

The spelling of 111222121000212 in words is "one hundred eleven trillion, two hundred twenty-two billion, one hundred twenty-one million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 113 148 222 226 333 339 444 452 666 678 1017 1332 1356 2034 4068 4181 8362 12543 16724 25086 37629 50172 75258 150516 738938857 1477877714 2216816571 2955755428 4433633142 6650449713 8867266284 13300899426 26601798852 27340737709 54681475418 82022213127 83500090841 109362950836 164044426254 167000181682 246066639381 250500272523 328088852508 334000363364 492133278762 501000545046 751500817569 984266557524 1002001090092 1503001635138 3006003270276 3089503361117 6179006722234 9268510083351 12358013444468 18537020166702 27805530250053 37074040333404 55611060500106 111222121000212