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220212210120012 = 2232112572163779921
BaseRepresentation
bin110010000100100000100110…
…100011110011010101001100
31001212201002012112212121112200
4302010200212203303111030
5212330424101242320022
62100204032011001500
764245543565524105
oct6204404643632514
91055632175777480
10220212210120012
1164191523768460
1220846727739290
1395b4bcb414c66
143c544838393ac
151a6d3592c2bac
hexc848268f354c

220212210120012 has 72 divisors (see below), whose sum is σ = 609614700104592. Its totient is φ = 66471319142400.

The previous prime is 220212210119983. The next prime is 220212210120041. The reversal of 220212210120012 is 210021012212022.

It is a happy number.

220212210120012 is a `hidden beast` number, since 220 + 21 + 2 + 210 + 1 + 200 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (220212210119983) and next prime (220212210120041).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1081788189 + ... + 1081991732.

It is an arithmetic number, because the mean of its divisors is an integer number (8466870834786).

Almost surely, 2220212210120012 is an apocalyptic number.

220212210120012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

220212210120012 is an abundant number, since it is smaller than the sum of its proper divisors (389402489984580).

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

220212210120012 is a wasteful number, since it uses less digits than its factorization.

220212210120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163780199 (or 2163780194 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220212210120012 its reverse (210021012212022), we get a palindrome (430233222332034).

The spelling of 220212210120012 in words is "two hundred twenty trillion, two hundred twelve billion, two hundred ten million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 257 396 514 771 1028 1542 2313 2827 3084 4626 5654 8481 9252 11308 16962 25443 33924 50886 101772 2163779921 4327559842 6491339763 8655119684 12982679526 19474019289 23801579131 25965359052 38948038578 47603158262 71404737393 77896077156 95206316524 142809474786 214214212179 285618949572 428428424358 556091439697 856856848716 1112182879394 1668274319091 2224365758788 3336548638182 5004822957273 6117005836667 6673097276364 10009645914546 12234011673334 18351017510001 20019291829092 24468023346668 36702035020002 55053052530003 73404070040004 110106105060006 220212210120012