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20121330220 = 22517219533457
BaseRepresentation
bin10010101111010100…
…110010001000101100
31220221021211111000121
4102233110302020230
5312202030031340
613124341534324
71311424325215
oct225724621054
956837744017
1020121330220
118595a6a232
123a967143a4
131b88879174
14d8c46a40c
157cb73594a
hex4af53222c

20121330220 has 144 divisors (see below), whose sum is σ = 48154448160. Its totient is φ = 7038959616.

The previous prime is 20121330149. The next prime is 20121330337. The reversal of 20121330220 is 2203312102.

It is a junction number, because it is equal to n+sod(n) for n = 20121330194 and 20121330203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5818732 + ... + 5822188.

It is an arithmetic number, because the mean of its divisors is an integer number (334405890).

Almost surely, 220121330220 is an apocalyptic number.

20121330220 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 20121330220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24077224080).

20121330220 is an abundant number, since it is smaller than the sum of its proper divisors (28033117940).

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

20121330220 is a wasteful number, since it uses less digits than its factorization.

20121330220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3572 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20121330220 its reverse (2203312102), we get a palindrome (22324642322).

The spelling of 20121330220 in words is "twenty billion, one hundred twenty-one million, three hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 53 68 76 85 95 106 170 190 212 265 289 323 340 380 530 578 646 901 1007 1060 1156 1292 1445 1615 1802 2014 2890 3230 3457 3604 4028 4505 5035 5491 5780 6460 6914 9010 10070 10982 13828 15317 17119 17285 18020 20140 21964 27455 30634 34238 34570 54910 58769 61268 65683 68476 69140 76585 85595 109820 117538 131366 153170 171190 183221 235076 262732 291023 293845 306340 328415 342380 366442 582046 587690 656830 732884 916105 999073 1116611 1164092 1175380 1313660 1455115 1832210 1998146 2233222 2910230 3114757 3481199 3664420 3996292 4466444 4995365 5583055 5820460 6229514 6962398 9990730 11166110 12459028 13924796 15573785 17405995 18982387 19981460 22332220 31147570 34811990 37964774 52950869 59180383 62295140 69623980 75929548 94911935 105901738 118360766 189823870 211803476 236721532 264754345 295901915 379647740 529508690 591803830 1006066511 1059017380 1183607660 2012133022 4024266044 5030332555 10060665110 20121330220