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212202220200120 = 233254114376844187
BaseRepresentation
bin110000001111111100101101…
…111101001010000010111000
31000211100100000120200200212100
4300033330231331022002320
5210303210121332400440
62031152204300143400
762461050556554633
oct6017745575120270
91024310016620770
10212202220200120
1161683502225587
121b972266237b60
139153777c527c7
143a588dc4dcc1a
15197ed002e1230
hexc0ff2df4a0b8

212202220200120 has 96 divisors (see below), whose sum is σ = 706478123398320. Its totient is φ = 55207081674240.

The previous prime is 212202220200071. The next prime is 212202220200233. The reversal of 212202220200120 is 21002022202212.

212202220200120 is a `hidden beast` number, since 2 + 1 + 220 + 2 + 220 + 200 + 1 + 20 = 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 = 212202220200093 and 212202220200102.

It is a congruent number.

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, 7188407334 + ... + 7188436853.

Almost surely, 2212202220200120 is an apocalyptic number.

212202220200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212202220200120 is an abundant number, since it is smaller than the sum of its proper divisors (494275903198200).

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

212202220200120 is a wasteful number, since it uses less digits than its factorization.

212202220200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14376844245 (or 14376844238 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212202220200120 its reverse (21002022202212), we get a palindrome (233204242402332).

The spelling of 212202220200120 in words is "two hundred twelve trillion, two hundred two billion, two hundred twenty million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 14760 14376844187 28753688374 43130532561 57507376748 71884220935 86261065122 115014753496 129391597683 143768441870 172522130244 215652662805 258783195366 287536883740 345044260488 431305325610 517566390732 575073767480 589450611667 646957988415 862610651220 1035132781464 1178901223334 1293915976830 1725221302440 1768351835001 2357802446668 2587831953660 2947253058335 3536703670002 4715604893336 5175663907320 5305055505003 5894506116670 7073407340004 8841759175005 10610111010006 11789012233340 14146814680008 17683518350010 21220222020012 23578024466680 26525277525015 35367036700020 42440444040024 53050555050030 70734073400040 106101110100060 212202220200120