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212120020101220 = 225711337694078897
BaseRepresentation
bin110000001110110000001010…
…011100101010100001100100
31000211001110211220201000112221
4300032300022130222201210
5210300333300121214340
62031050331510522124
762452110561342550
oct6016601234524144
91024043756630487
10212120020101220
1161651660431650
121b95a345666344
139148aa808332a
143a5494149c860
15197caddad644a
hexc0ec0a72a864

212120020101220 has 96 divisors (see below), whose sum is σ = 555385362174720. Its totient is φ = 66113356861440.

The previous prime is 212120020101193. The next prime is 212120020101221. The reversal of 212120020101220 is 22101020021212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212120020101194 and 212120020101203.

It is not an unprimeable number, because it can be changed into a prime (212120020101221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49964812 + ... + 54043708.

It is an arithmetic number, because the mean of its divisors is an integer number (5785264189320).

Almost surely, 2212120020101220 is an apocalyptic number.

212120020101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120020101220 is an abundant number, since it is smaller than the sum of its proper divisors (343265342073500).

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

212120020101220 is a wasteful number, since it uses less digits than its factorization.

212120020101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112693 (or 4112691 counting only the distinct ones).

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

Adding to 212120020101220 its reverse (22101020021212), we get a palindrome (234221040122432).

The spelling of 212120020101220 in words is "two hundred twelve trillion, one hundred twenty billion, twenty million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 33769 67538 135076 168845 236383 337690 371459 472766 675380 742918 945532 1181915 1485836 1857295 2363830 2600213 3714590 4078897 4727660 5200426 7429180 8157794 10400852 13001065 16315588 20394485 26002130 28552279 40788970 44867867 52004260 57104558 81577940 89735734 114209116 142761395 179471468 224339335 285522790 314075069 448678670 571045580 628150138 897357340 1256300276 1570375345 3140750690 6281501380 137740272793 275480545586 550961091172 688701363965 964181909551 1377402727930 1515143000723 1928363819102 2754805455860 3030286001446 3856727638204 4820909547755 6060572002892 7575715003615 9641819095510 10606001005061 15151430007230 19283638191020 21212002010122 30302860014460 42424004020244 53030005025305 106060010050610 212120020101220