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212212112022020 = 2251121710151072193
BaseRepresentation
bin110000010000000101111011…
…100011011101101000000100
31000211101021112221220022112102
4300100011323203131220010
5210303340401134201040
62031200522020211232
762461550651633555
oct6020057343355004
91024337487808472
10212212112022020
1161687718972800
121b974166b39b18
1391546933c4c66
143a5919a14232c
1519801cd931515
hexc1017b8dda04

212212112022020 has 144 divisors (see below), whose sum is σ = 523791110155824. Its totient is φ = 71909646336000.

The previous prime is 212212112021993. The next prime is 212212112022091. The reversal of 212212112022020 is 20220211212212.

It can be written as a sum of positive squares in 8 ways, for example, as 90372857783296 + 121839254238724 = 9506464^2 + 11038082^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 212212112021983 and 212212112022001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21380957 + ... + 29691236.

It is an arithmetic number, because the mean of its divisors is an integer number (3637438264971).

Almost surely, 2212212112022020 is an apocalyptic number.

212212112022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212212112022020 is an abundant number, since it is smaller than the sum of its proper divisors (311578998133804).

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

212212112022020 is a wasteful number, since it uses less digits than its factorization.

212212112022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51072342 (or 51072329 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 212212112022020 its reverse (20220211212212), we get a palindrome (232432323234232).

It can be divided in two parts, 2122121 and 12022020, that added together give a palindrome (14144141).

The spelling of 212212112022020 in words is "two hundred twelve trillion, two hundred twelve billion, one hundred twelve million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 101 110 121 170 187 202 220 242 340 374 404 484 505 605 748 935 1010 1111 1210 1717 1870 2020 2057 2222 2420 3434 3740 4114 4444 5555 6868 8228 8585 10285 11110 12221 17170 18887 20570 22220 24442 34340 37774 41140 48884 61105 75548 94435 122210 188870 207757 244420 377740 415514 831028 1038785 2077570 4155140 51072193 102144386 204288772 255360965 510721930 561794123 868227281 1021443860 1123588246 1736454562 2247176492 2808970615 3472909124 4341136405 5158291493 5617941230 6179735353 8682272810 9550500091 10316582986 11235882460 12359470706 17364545620 19101000182 20633165972 24718941412 25791457465 30898676765 38202000364 47752500455 51582914930 56741206423 61797353530 87690955381 95505000910 103165829860 105055501001 113482412846 123594707060 175381910762 191010001820 210111002002 226964825692 283706032115 350763821524 420222004004 438454776905 525277505005 567412064230 624153270653 876909553810 964600509191 1050555010010 1134824128460 1248306541306 1753819107620 1929201018382 2101110020020 2496613082612 3120766353265 3858402036764 4823002545955 6241532706530 9646005091910 10610605601101 12483065413060 19292010183820 21221211202202 42442422404404 53053028005505 106106056011010 212212112022020