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212202330120 = 233351117862149
BaseRepresentation
bin1100010110100000111…
…1101001100000001000
3202021201202010021121000
43011220033221200020
511434042244030440
6241252344215000
721221400021324
oct3055017514010
9667652107530
10212202330120
1181aa3757450
123516216a460
131701a375761
14a3b092a984
1557be85e730
hex31683e9808

212202330120 has 128 divisors (see below), whose sum is σ = 771644880000. Its totient is φ = 51442986240.

The previous prime is 212202330113. The next prime is 212202330169. The reversal of 212202330120 is 21033202212.

212202330120 is a `hidden beast` number, since 2 + 12 + 202 + 330 + 120 = 666.

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 = 212202330093 and 212202330102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8919195 + ... + 8942954.

It is an arithmetic number, because the mean of its divisors is an integer number (6028475625).

Almost surely, 2212202330120 is an apocalyptic number.

212202330120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212202330120 is an abundant number, since it is smaller than the sum of its proper divisors (559442549880).

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

212202330120 is a wasteful number, since it uses less digits than its factorization.

212202330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17862180 (or 17862170 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212202330120 its reverse (21033202212), we get a palindrome (233235532332).

The spelling of 212202330120 in words is "two hundred twelve billion, two hundred two million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 17862149 35724298 53586447 71448596 89310745 107172894 142897192 160759341 178621490 196483639 214345788 267932235 321518682 357242980 392967278 428691576 482278023 535864470 589450917 643037364 714485960 785934556 803796705 964556046 982418195 1071728940 1178901834 1286074728 1571869112 1607593410 1768352751 1929112092 1964836390 2143457880 2357803668 2411390115 2947254585 3215186820 3536705502 3858224184 3929672780 4715607336 4822780230 5305058253 5894509170 6430373640 7073411004 7859345560 8841763755 9645560460 10610116506 11789018340 14146822008 17683527510 19291120920 21220233012 23578036680 26525291265 35367055020 42440466024 53050582530 70734110040 106101165060 212202330120