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12000222212000 = 255311272732323
BaseRepresentation
bin1010111010100000010011…
…1110110110111110100000
31120111012200010012122100112
42232220010332312332200
53033102423341241000
641304454224510452
72345662456540631
oct256500476667640
946435603178315
1012000222212000
1139072a1658a90
12141988217b428
13690801753089
142d6b57303888
1515c2476b6235
hexaea04fb6fa0

12000222212000 has 96 divisors (see below), whose sum is σ = 32164959363264. Its totient is φ = 4363717152000.

The previous prime is 12000222211981. The next prime is 12000222212087. The reversal of 12000222212000 is 21222200021.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 136322162 + ... + 136410161.

It is an arithmetic number, because the mean of its divisors is an integer number (335051660034).

Almost surely, 212000222212000 is an apocalyptic number.

12000222212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000222212000 is an abundant number, since it is smaller than the sum of its proper divisors (20164737151264).

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

12000222212000 is a wasteful number, since it uses less digits than its factorization.

12000222212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272732359 (or 272732341 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12000222212000 its reverse (21222200021), we get a palindrome (12021444412021).

The spelling of 12000222212000 in words is "twelve trillion, two hundred twenty-two million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 272732323 545464646 1090929292 1363661615 2181858584 2727323230 3000055553 4363717168 5454646460 6000111106 6818308075 8727434336 10909292920 12000222212 13636616150 15000277765 21818585840 24000444424 27273232300 30000555530 34091540375 43637171680 48000888848 54546464600 60001111060 68183080750 75001388825 96001777696 109092929200 120002222120 136366161500 150002777650 218185858400 240004444240 272732323000 300005555300 375006944125 480008888480 545464646000 600011110600 750013888250 1090929292000 1200022221200 1500027776500 2400044442400 3000055553000 6000111106000 12000222212000