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212122210201220 = 2251117199285010897
BaseRepresentation
bin110000001110110010001100…
…111111001110111010000100
31000211001200111112202121221202
4300032302030333032322010
5210300402241302414340
62031051333104202032
762452216054030004
oct6016621477167204
91024050445677852
10212122210201220
116165258470a150
121b95a857009318
139149066a297a7
143a54aac2c0004
15197cbbaee9c15
hexc0ec8cfcee84

212122210201220 has 96 divisors (see below), whose sum is σ = 517123773331200. Its totient is φ = 72233161482240.

The previous prime is 212122210201219. The next prime is 212122210201229. The reversal of 212122210201220 is 22102012221212.

212122210201220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 212122210201192 and 212122210201201.

It is not an unprimeable number, because it can be changed into a prime (212122210201229) 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, 141761189 + ... + 143249708.

It is an arithmetic number, because the mean of its divisors is an integer number (5386705972200).

Almost surely, 2212122210201220 is an apocalyptic number.

212122210201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122210201220 is an abundant number, since it is smaller than the sum of its proper divisors (305001563129980).

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

212122210201220 is a wasteful number, since it uses less digits than its factorization.

212122210201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285011133 (or 285011131 counting only the distinct ones).

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

Adding to 212122210201220 its reverse (22102012221212), we get a palindrome (234224222422432).

The spelling of 212122210201220 in words is "two hundred twelve trillion, one hundred twenty-two billion, two hundred ten million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 199 220 340 374 398 748 796 935 995 1870 1990 2189 3383 3740 3980 4378 6766 8756 10945 13532 16915 21890 33830 37213 43780 67660 74426 148852 186065 372130 744260 285010897 570021794 1140043588 1425054485 2850108970 3135119867 4845185249 5700217940 6270239734 9690370498 12540479468 15675599335 19380740996 24225926245 31351198670 48451852490 53297037739 56717168503 62702397340 96903704980 106594075478 113434337006 213188150956 226868674012 266485188695 283585842515 532970377390 567171685030 623888853533 964191864551 1065940754780 1134343370060 1247777707066 1928383729102 2495555414132 3119444267665 3856767458204 4820959322755 6238888535330 9641918645510 10606110510061 12477777070660 19283837291020 21212221020122 42424442040244 53030552550305 106061105100610 212122210201220