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200212112120220 = 22345294261645639
BaseRepresentation
bin101101100001011110000011…
…110100101001100110011100
3222020220002110100000012110000
4231201132003310221212130
5202220233401200321340
61545452101412214300
760112563531510414
oct5541360364514634
9866802410005400
10200212112120220
1158880530855762
121a55654730a390
138793bc8a3aca5
14376246458b644
151822e9aa2ed30
hexb61783d2999c

200212112120220 has 120 divisors (see below), whose sum is σ = 649730494274400. Its totient is φ = 51548865637248.

The previous prime is 200212112120203. The next prime is 200212112120221. The reversal of 200212112120220 is 22021211212002.

It is a happy number.

200212112120220 is a `hidden beast` number, since 2 + 0 + 0 + 21 + 211 + 212 + 0 + 220 = 666.

200212112120220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 200212112120193 and 200212112120202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200212112120221) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2130775840 + ... + 2130869799.

It is an arithmetic number, because the mean of its divisors is an integer number (5414420785620).

Almost surely, 2200212112120220 is an apocalyptic number.

200212112120220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212112120220 is an abundant number, since it is smaller than the sum of its proper divisors (449518382154180).

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

200212112120220 is a wasteful number, since it uses less digits than its factorization.

200212112120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4261645689 (or 4261645678 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200212112120220 its reverse (22021211212002), we get a palindrome (222233323332222).

The spelling of 200212112120220 in words is "two hundred trillion, two hundred twelve billion, one hundred twelve million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 261 270 290 324 348 405 435 522 540 580 783 810 870 1044 1305 1566 1620 1740 2349 2610 3132 3915 4698 5220 7830 9396 11745 15660 23490 46980 4261645639 8523291278 12784936917 17046582556 21308228195 25569873834 38354810751 42616456390 51139747668 63924684585 76709621502 85232912780 115064432253 123587723531 127849369170 153419243004 191774053755 230128864506 247175447062 255698738340 345193296759 370763170593 383548107510 460257729012 494350894124 575322161265 617938617655 690386593518 741526341186 767096215020 1112289511779 1150644322530 1235877235310 1380773187036 1483052682372 1725966483795 1853815852965 2224579023558 2301288645060 2471754470620 3336868535337 3451932967590 3707631705930 4449158047116 5561447558895 6673737070674 6903865935180 7415263411860 10010605606011 11122895117790 13347474141348 16684342676685 20021211212022 22245790235580 33368685353370 40042422424044 50053028030055 66737370706740 100106056060110 200212112120220