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212120212002220 = 225234391327791569
BaseRepresentation
bin110000001110110000010101…
…111000101101010110101100
31000211001111100021210121020101
4300032300111320231112230
5210300334143233032340
62031050402524000444
762452115411435644
oct6016602570552654
91024044307717211
10212120212002220
1161651749792715
121b95a399990124
139148b08a63112
143a5495cb73524
15197cb00890c9a
hexc0ec15e2d5ac

212120212002220 has 96 divisors (see below), whose sum is σ = 466230423859200. Its totient is φ = 80913042422784.

The previous prime is 212120212002217. The next prime is 212120212002227. The reversal of 212120212002220 is 22200212021212.

It is not an unprimeable number, because it can be changed into a prime (212120212002227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267578596 + ... + 268370164.

It is an arithmetic number, because the mean of its divisors is an integer number (4856566915200).

Almost surely, 2212120212002220 is an apocalyptic number.

212120212002220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212120212002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233115211929600).

212120212002220 is an abundant number, since it is smaller than the sum of its proper divisors (254110211856980).

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

212120212002220 is a wasteful number, since it uses less digits than its factorization.

212120212002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793367 (or 793365 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 212120212002220 its reverse (22200212021212), we get a palindrome (234320424023432).

The spelling of 212120212002220 in words is "two hundred twelve trillion, one hundred twenty billion, two hundred twelve million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 439 460 878 1327 1756 2195 2654 4390 5308 6635 8780 10097 13270 20194 26540 30521 40388 50485 61042 100970 122084 152605 201940 305210 582553 610420 791569 1165106 1583138 2330212 2912765 3166276 3957845 5825530 7915690 11651060 13398719 15831380 18206087 26797438 36412174 53594876 66993595 72824348 91030435 133987190 182060870 267974380 347498791 364121740 694997582 1050412063 1389995164 1737493955 2100824126 3474987910 4201648252 5252060315 6949975820 7992472193 10504120630 15984944386 21008241260 24159477449 31969888772 39962360965 48318954898 79924721930 96637909796 120797387245 159849443860 241594774490 461130895657 483189548980 922261791314 1844523582628 2305654478285 4611308956570 9222617913140 10606010600111 21212021200222 42424042400444 53030053000555 106060106001110 212120212002220