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212210220201200 = 245213197207155623
BaseRepresentation
bin110000010000000100001010…
…110010101111010011110000
31000211101002200010002212020122
4300100010022302233103300
5210303323012332414300
62031200010200025412
762461453040501144
oct6020041262572360
91024332603085218
10212210220201200
1161686937aa3821
121b973919462268
139154451496260
143a5905aba7224
15198011c7dbc85
hexc1010acaf4f0

212210220201200 has 120 divisors (see below), whose sum is σ = 551840209528608. Its totient is φ = 77956803671040.

The previous prime is 212210220201059. The next prime is 212210220201269. The reversal of 212210220201200 is 2102022012212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 102553412 + ... + 104602211.

Almost surely, 2212210220201200 is an apocalyptic number.

212210220201200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212210220201200 is an abundant number, since it is smaller than the sum of its proper divisors (339629989327408).

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

212210220201200 is a wasteful number, since it uses less digits than its factorization.

212210220201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207155851 (or 207155840 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212210220201200 its reverse (2102022012212), we get a palindrome (214312242213412).

The spelling of 212210220201200 in words is "two hundred twelve trillion, two hundred ten billion, two hundred twenty million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 197 200 208 260 325 394 400 520 650 788 985 1040 1300 1576 1970 2561 2600 3152 3940 4925 5122 5200 7880 9850 10244 12805 15760 19700 20488 25610 39400 40976 51220 64025 78800 102440 128050 204880 256100 512200 1024400 207155623 414311246 828622492 1035778115 1657244984 2071556230 2693023099 3314489968 4143112460 5178890575 5386046198 8286224920 10357781150 10772092396 13465115495 16572449840 20715562300 21544184792 26930230990 40809657731 41431124600 43088369584 53860461980 67325577475 81619315462 82862249200 107720923960 134651154950 163238630924 204048288655 215441847920 269302309900 326477261848 408096577310 530525550503 538604619800 652954523696 816193154620 1020241443275 1061051101006 1077209239600 1632386309240 2040482886550 2122102202012 2652627752515 3264772618480 4080965773100 4244204404024 5305255505030 8161931546200 8488408808048 10610511010060 13263138762575 16323863092400 21221022020120 26526277525150 42442044040240 53052555050300 106105110100600 212210220201200