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212211000022120 = 2351141101116468903
BaseRepresentation
bin110000010000000100111001…
…010001100001010001101000
31000211101011200110110212102221
4300100010321101201101220
5210303331112001201440
62031200215414203424
762461511260041421
oct6020047121412150
91024334613425387
10212211000022120
11616871a8201820
121b973ab6653574
139154546c02358
143a590d259c648
151980165ec9d4a
hexc10139461468

212211000022120 has 128 divisors (see below), whose sum is σ = 538869007514880. Its totient is φ = 74540097280000.

The previous prime is 212211000022069. The next prime is 212211000022123. The reversal of 212211000022120 is 21220000112212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212211000022094 and 212211000022103.

It is not an unprimeable number, because it can be changed into a prime (212211000022123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56412412 + ... + 60056491.

It is an arithmetic number, because the mean of its divisors is an integer number (4209914121210).

Almost surely, 2212211000022120 is an apocalyptic number.

212211000022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211000022120 is an abundant number, since it is smaller than the sum of its proper divisors (326658007492760).

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

212211000022120 is a wasteful number, since it uses less digits than its factorization.

212211000022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116469067 (or 116469063 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212211000022120 its reverse (21220000112212), we get a palindrome (233431000134332).

The spelling of 212211000022120 in words is "two hundred twelve trillion, two hundred eleven billion, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 101 110 164 202 205 220 328 404 410 440 451 505 808 820 902 1010 1111 1640 1804 2020 2222 2255 3608 4040 4141 4444 4510 5555 8282 8888 9020 11110 16564 18040 20705 22220 33128 41410 44440 45551 82820 91102 165640 182204 227755 364408 455510 911020 1822040 116468903 232937806 465875612 582344515 931751224 1164689030 1281157933 2329378060 2562315866 4658756120 4775225023 5124631732 6405789665 9550450046 10249263464 11763359203 12811579330 19100900092 23526718406 23876125115 25623158660 38201800184 47053436812 47752250230 51246317320 52527475253 58816796015 94106873624 95504500460 105054950506 117633592030 129396951233 191009000920 210109901012 235267184060 258793902466 262637376265 420219802024 470534368120 482297727323 517587804932 525274752530 646984756165 964595454646 1035175609864 1050549505060 1293969512330 1929190909292 2101099010120 2411488636615 2587939024660 3858381818584 4822977273230 5175878049320 5305275000553 9645954546460 10610550001106 19291909092920 21221100002212 26526375002765 42442200004424 53052750005530 106105500011060 212211000022120