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12111322200012 = 22327683502314009
BaseRepresentation
bin1011000000111110001100…
…0011101011011111001100
31120212211102212102210121100
42300033203003223133030
53041412441440400022
641431510431103100
72360004566054340
oct260174303533714
946784385383540
1012111322200012
11394a4237053a2
121437309371a90
1369b128ac8359
142dc296621620
1516009b1411ac
hexb03e30eb7cc

12111322200012 has 144 divisors (see below), whose sum is σ = 35048968980480. Its totient is φ = 3454376834304.

The previous prime is 12111322199989. The next prime is 12111322200017. The reversal of 12111322200012 is 21000222311121.

12111322200012 is a `hidden beast` number, since 121 + 11 + 322 + 200 + 0 + 12 = 666.

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 (12111322200017) 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 47 ways as a sum of consecutive naturals, for example, 864531664 + ... + 864545672.

It is an arithmetic number, because the mean of its divisors is an integer number (243395617920).

Almost surely, 212111322200012 is an apocalyptic number.

12111322200012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12111322200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17524484490240).

12111322200012 is an abundant number, since it is smaller than the sum of its proper divisors (22937646780468).

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

12111322200012 is a wasteful number, since it uses less digits than its factorization.

12111322200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19732 (or 19727 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12111322200012 its reverse (21000222311121), we get a palindrome (33111544511133).

The spelling of 12111322200012 in words is "twelve trillion, one hundred eleven billion, three hundred twenty-two million, two hundred thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 683 1366 2049 2732 4098 4781 5023 6147 8196 9562 10046 12294 14009 14343 15069 19124 20092 24588 28018 28686 30138 35161 42027 43029 45207 56036 57372 60276 70322 84054 86058 90414 98063 105483 126081 140644 168108 172116 180828 196126 210966 252162 294189 316449 392252 421932 504324 588378 632898 882567 1176756 1265796 1765134 3430709 3530268 6861418 9568147 10292127 13722836 19136294 20584254 24014963 28704441 30876381 38272588 41168508 48029926 57408882 61752762 66977029 70367207 72044889 86113323 96059852 114817764 123505524 133954058 140734414 144089778 172226646 200931087 211101621 216134667 267908116 281468828 288179556 344453292 401862174 422203242 432269334 492570449 602793261 633304863 803724348 844406484 864538668 985140898 1205586522 1266609726 1477711347 1970281796 2411173044 2533219452 2955422694 4433134041 5910845388 8866268082 17732536164 48060802381 96121604762 144182407143 192243209524 288364814286 336425616667 432547221429 576729628572 672851233334 865094442858 1009276850001 1345702466668 1730188885716 2018553700002 3027830550003 4037107400004 6055661100006 12111322200012