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220212220120002 = 2321153173121298171
BaseRepresentation
bin110010000100100000100111…
…001001111100101111000010
31001212201002020020200122221200
4302010200213021330233002
5212330424111322320002
62100204033005202030
764245544046523435
oct6204404711745702
91055632206618850
10220212220120002
1164191529378610
122084672ab60316
1395b4c00506806
143c54484cbd81c
151a6d35a0eab1c
hexc8482727cbc2

220212220120002 has 96 divisors (see below), whose sum is σ = 533387848084416. Its totient is φ = 65093449948800.

The previous prime is 220212220119911. The next prime is 220212220120007. The reversal of 220212220120002 is 200021022212022.

220212220120002 is a `hidden beast` number, since 220 + 21 + 2 + 220 + 1 + 200 + 0 + 2 = 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 (220212220120007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58833624 + ... + 62464547.

It is an arithmetic number, because the mean of its divisors is an integer number (5556123417546).

Almost surely, 2220212220120002 is an apocalyptic number.

220212220120002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220212220120002 is an abundant number, since it is smaller than the sum of its proper divisors (313175627964414).

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

220212220120002 is a wasteful number, since it uses less digits than its factorization.

220212220120002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121298416 (or 121298413 counting only the distinct ones).

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

Adding to 220212220120002 its reverse (200021022212022), we get a palindrome (420233242332024).

The spelling of 220212220120002 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred twenty million, one hundred twenty thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 173 198 318 346 477 519 583 954 1038 1166 1557 1749 1903 3114 3498 3806 5247 5709 9169 10494 11418 17127 18338 27507 34254 55014 82521 100859 165042 201718 302577 605154 907731 1815462 121298171 242596342 363894513 727789026 1091683539 1334279881 2183367078 2668559762 4002839643 6428803063 8005679286 12008518929 12857606126 19286409189 20984583583 24017037858 38572818378 41969167166 57859227567 62953750749 70716833693 115718455134 125907501498 141433667386 188861252247 212150501079 230830419413 377722504494 424301002158 461660838826 636451503237 692491258239 1112182929899 1272903006474 1384982516478 2077473774717 2224365859798 3336548789697 4154947549434 6673097579394 10009646369091 12234012228889 20019292738182 24468024457778 36702036686667 73404073373334 110106110060001 220212220120002