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212122102121220 = 223537601158985851
BaseRepresentation
bin110000001110110010000110…
…100010111100001100000100
31000211001200020000101121001210
4300032302012202330030010
5210300402031120334340
62031051314243451420
762452213302252654
oct6016620642741404
91024050200347053
10212122102121220
11616525296aa035
121b95a826986b70
13914904a517325
143a54a9bbc8364
15197cbb179b180
hexc0ec868bc304

212122102121220 has 96 divisors (see below), whose sum is σ = 611009338859136. Its totient is φ = 54945509760000.

The previous prime is 212122102121219. The next prime is 212122102121227. The reversal of 212122102121220 is 22121201221212.

It is not an unprimeable number, because it can be changed into a prime (212122102121227) 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, 78158706 + ... + 80827145.

It is an arithmetic number, because the mean of its divisors is an integer number (6364680613116).

Almost surely, 2212122102121220 is an apocalyptic number.

212122102121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122102121220 is an abundant number, since it is smaller than the sum of its proper divisors (398887236737916).

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

212122102121220 is a wasteful number, since it uses less digits than its factorization.

212122102121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158986501 (or 158986499 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 212122102121220 its reverse (22121201221212), we get a palindrome (234243303342432).

The spelling of 212122102121220 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred two million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 601 740 1110 1202 1803 2220 2404 3005 3606 6010 7212 9015 12020 18030 22237 36060 44474 66711 88948 111185 133422 222370 266844 333555 444740 667110 1334220 158985851 317971702 476957553 635943404 794929255 953915106 1589858510 1907830212 2384787765 3179717020 4769575530 5882476487 9539151060 11764952974 17647429461 23529905948 29412382435 35294858922 58824764870 70589717844 88237147305 95550496451 117649529740 176474294610 191100992902 286651489353 352948589220 382201985804 477752482255 573302978706 955504964510 1146605957412 1433257446765 1911009929020 2866514893530 3535368368687 5733029787060 7070736737374 10606105106061 14141473474748 17676841843435 21212210212122 35353683686870 42424420424244 53030525530305 70707367373740 106061051060610 212122102121220