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12221310202320 = 2435674491692721
BaseRepresentation
bin1011000111010111111011…
…0110100111000111010000
31121021100100010021020020110
42301311332312213013100
53100213220402433240
641554220431441320
72400650313465162
oct261657666470720
947240303236213
1012221310202320
11399203500045a
1214546a4086240
136a860698431b
1430372bda0932
15162d87168c80
hexb1d7eda71d0

12221310202320 has 160 divisors (see below), whose sum is σ = 38537186140800. Its totient is φ = 3203222077440.

The previous prime is 12221310202313. The next prime is 12221310202379. The reversal of 12221310202320 is 2320201312221.

It is a super-2 number, since 2×122213102023202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 6373560 + ... + 8066280.

It is an arithmetic number, because the mean of its divisors is an integer number (240857413380).

Almost surely, 212221310202320 is an apocalyptic number.

12221310202320 is a gapful number since it is divisible by the number (10) 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 12221310202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19268593070400).

12221310202320 is an abundant number, since it is smaller than the sum of its proper divisors (26315875938480).

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

12221310202320 is a wasteful number, since it uses less digits than its factorization.

12221310202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693253 (or 1693247 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12221310202320 its reverse (2320201312221), we get a palindrome (14541511514541).

The spelling of 12221310202320 in words is "twelve trillion, two hundred twenty-one billion, three hundred ten million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 449 536 670 804 898 1005 1072 1340 1347 1608 1796 2010 2245 2680 2694 3216 3592 4020 4490 5360 5388 6735 7184 8040 8980 10776 13470 16080 17960 21552 26940 30083 35920 53880 60166 90249 107760 120332 150415 180498 240664 300830 360996 451245 481328 601660 721992 902490 1203320 1443984 1692721 1804980 2406640 3385442 3609960 5078163 6770884 7219920 8463605 10156326 13541768 16927210 20312652 25390815 27083536 33854420 40625304 50781630 67708840 81250608 101563260 113412307 135417680 203126520 226824614 340236921 406253040 453649228 567061535 680473842 760031729 907298456 1134123070 1360947684 1520063458 1701184605 1814596912 2268246140 2280095187 2721895368 3040126916 3402369210 3800158645 4536492280 4560190374 5443790736 6080253832 6804738420 7600317290 9072984560 9120380748 11400475935 12160507664 13609476840 15200634580 18240761496 22800951870 27218953680 30401269160 36481522992 45601903740 50922125843 60802538320 91203807480 101844251686 152766377529 182407614960 203688503372 254610629215 305532755058 407377006744 509221258430 611065510116 763831887645 814754013488 1018442516860 1222131020232 1527663775290 2036885033720 2444262040464 3055327550580 4073770067440 6110655101160 12221310202320