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212201100001220 = 2251159109149984521
BaseRepresentation
bin110000001111111011101011…
…001011111011111111000100
31000211100020010111211200212012
4300033323223023323333010
5210303200323100014340
62031151501202313352
762461011035203631
oct6017735313737704
91024306114750765
10212201100001220
1161682a87974570
121b971bb3058858
139153629b4c015
143a58833823188
15197ec86cba565
hexc0feeb2fbfc4

212201100001220 has 96 divisors (see below), whose sum is σ = 498908513980800. Its totient is φ = 75160242662400.

The previous prime is 212201100001213. The next prime is 212201100001259. The reversal of 212201100001220 is 22100001102212.

It is a junction number, because it is equal to n+sod(n) for n = 212201100001195 and 212201100001204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73577441 + ... + 76407080.

It is an arithmetic number, because the mean of its divisors is an integer number (5196963687300).

Almost surely, 2212201100001220 is an apocalyptic number.

212201100001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201100001220 is an abundant number, since it is smaller than the sum of its proper divisors (286707413979580).

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

212201100001220 is a wasteful number, since it uses less digits than its factorization.

212201100001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149984709 (or 149984707 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212201100001220 its reverse (22100001102212), we get a palindrome (234301101103432).

The spelling of 212201100001220 in words is "two hundred twelve trillion, two hundred one billion, one hundred million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 109 110 118 218 220 236 295 436 545 590 649 1090 1180 1199 1298 2180 2398 2596 3245 4796 5995 6431 6490 11990 12862 12980 23980 25724 32155 64310 70741 128620 141482 282964 353705 707410 1414820 149984521 299969042 599938084 749922605 1499845210 1649829731 2999690420 3299659462 6599318924 8249148655 8849086739 16348312789 16498297310 17698173478 32696625578 32996594620 35396346956 44245433695 65393251156 81741563945 88490867390 97339954129 163483127890 176981734780 179831440679 194679908258 326966255780 359662881358 389359816516 486699770645 719325762716 899157203395 964550454551 973399541290 1798314406790 1929100909102 1946799082580 3596628813580 3858201818204 4822752272755 9645504545510 10610055000061 19291009091020 21220110000122 42440220000244 53050275000305 106100550000610 212201100001220