Search a number
-
+
12320300212220 = 22571113615399611
BaseRepresentation
bin1011001101001000101100…
…0111100001111111111100
31121121210211220102202112102
42303102023013201333330
53103323433323242340
642111511235124232
72411053344624140
oct263221307417774
947553756382472
1012320300212220
113a20012309aa0
12146b90b743678
136b4a51169690
1430843cc33220
1516572c89c215
hexb348b1e1ffc

12320300212220 has 96 divisors (see below), whose sum is σ = 34738077298176. Its totient is φ = 3544701753600.

The previous prime is 12320300212211. The next prime is 12320300212223. The reversal of 12320300212220 is 2221200302321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12320300212192 and 12320300212201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12320300212223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307679786 + ... + 307719825.

It is an arithmetic number, because the mean of its divisors is an integer number (361854971856).

Almost surely, 212320300212220 is an apocalyptic number.

12320300212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12320300212220 is an abundant number, since it is smaller than the sum of its proper divisors (22417777085956).

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

12320300212220 is a wasteful number, since it uses less digits than its factorization.

12320300212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615399651 (or 615399649 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12320300212220 its reverse (2221200302321), we get a palindrome (14541500514541).

The spelling of 12320300212220 in words is "twelve trillion, three hundred twenty billion, three hundred million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 615399611 1230799222 2461598444 3076998055 4307797277 6153996110 6769395721 8000194943 8615594554 12307992220 13538791442 16000389886 17231189108 21538986385 27077582884 32000779772 33846978605 40000974715 43077972770 47385770047 56001364601 67693957210 80001949430 86155945540 88002144373 94771540094 112002729202 135387914420 160003898860 176004288746 189543080188 224005458404 236928850235 280006823005 352008577492 440010721865 473857700470 560013646010 616015010611 880021443730 947715400940 1120027292020 1232030021222 1760042887460 2464060042444 3080075053055 6160150106110 12320300212220