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212120210201220 = 223253972968376857
BaseRepresentation
bin110000001110110000010101…
…110001110101101010000100
31000211001111100011102002201200
4300032300111301311222010
5210300334142302414340
62031050402421222500
762452115360225136
oct6016602561655204
91024044304362650
10212120210201220
1161651748772592
121b95a399261a30
139148b08582439
143a5495c825056
15197cb00637330
hexc0ec15c75a84

212120210201220 has 72 divisors (see below), whose sum is σ = 645052038258264. Its totient is φ = 56422907278848.

The previous prime is 212120210201189. The next prime is 212120210201243. The reversal of 212120210201220 is 22102012021212.

It is a happy number.

212120210201220 is a `hidden beast` number, since 2 + 1 + 212 + 0 + 210 + 20 + 1 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 94037084241984 + 118083125959236 = 9697272^2 + 10866606^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212120210201193 and 212120210201202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1484116969 + ... + 1484259888.

Almost surely, 2212120210201220 is an apocalyptic number.

212120210201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212120210201220 is an abundant number, since it is smaller than the sum of its proper divisors (432931828057044).

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

212120210201220 is a wasteful number, since it uses less digits than its factorization.

212120210201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968377269 (or 2968377264 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212120210201220 its reverse (22102012021212), we get a palindrome (234222222222432).

The spelling of 212120210201220 in words is "two hundred twelve trillion, one hundred twenty billion, two hundred ten million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 397 794 1191 1588 1985 2382 3573 3970 4764 5955 7146 7940 11910 14292 17865 23820 35730 71460 2968376857 5936753714 8905130571 11873507428 14841884285 17810261142 26715391713 29683768570 35620522284 44525652855 53430783426 59367537140 89051305710 106861566852 133576958565 178102611420 267153917130 534307834260 1178445612229 2356891224458 3535336836687 4713782448916 5892228061145 7070673673374 10606010510061 11784456122290 14141347346748 17676684183435 21212021020122 23568912244580 35353368366870 42424042040244 53030052550305 70706736733740 106060105100610 212120210201220