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12301420345040 = 24510112790713217
BaseRepresentation
bin1011001100000010010111…
…0010100011011011010000
31121120000010010122010122102
42303000211302203123100
53103021302102020130
642055110002055532
72406514443454451
oct263004562433320
947500103563572
1012301420345040
113a130040a6382
12146812094a5a8
136b3032871438
1430756b60b128
15164ec5142645
hexb3025ca36d0

12301420345040 has 160 divisors (see below), whose sum is σ = 29145712840704. Its totient is φ = 4827794227200.

The previous prime is 12301420345013. The next prime is 12301420345043. The reversal of 12301420345040 is 4054302410321.

It is a junction number, because it is equal to n+sod(n) for n = 12301420344994 and 12301420345012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301420345043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 930720512 + ... + 930733728.

Almost surely, 212301420345040 is an apocalyptic number.

12301420345040 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 12301420345040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14572856420352).

12301420345040 is an abundant number, since it is smaller than the sum of its proper divisors (16844292495664).

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

12301420345040 is a wasteful number, since it uses less digits than its factorization.

12301420345040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14365 (or 14359 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 12301420345040 its reverse (4054302410321), we get a palindrome (16355722755361).

The spelling of 12301420345040 in words is "twelve trillion, three hundred one billion, four hundred twenty million, three hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 127 202 254 404 505 508 635 808 907 1010 1016 1270 1616 1814 2020 2032 2540 3628 4040 4535 5080 7256 8080 9070 10160 12827 13217 14512 18140 25654 26434 36280 51308 52868 64135 66085 72560 91607 102616 105736 115189 128270 132170 183214 205232 211472 230378 256540 264340 366428 458035 460756 513080 528680 575945 732856 916070 921512 1026160 1057360 1151890 1334917 1465712 1678559 1832140 1843024 2303780 2669834 3357118 3664280 4607560 5339668 6674585 6714236 7328560 8392795 9215120 10679336 11634089 11987819 13349170 13428472 16785590 21358672 23268178 23975638 26698340 26856944 33571180 46536356 47951276 53396680 58170445 59939095 67142360 93072712 95902552 106793360 116340890 119878190 134284720 169534459 186145424 191805104 232681780 239756380 339068918 465363560 479512760 678137836 847672295 930727120 959025520 1210769719 1356275672 1522453013 1695344590 2421539438 2712551344 3044906026 3390689180 4843078876 6053848595 6089812052 6781378360 7612265065 9686157752 12107697190 12179624104 13562756720 15224530130 19372315504 24215394380 24359248208 30449060260 48430788760 60898120520 96861577520 121796241040 153767754313 307535508626 615071017252 768838771565 1230142034504 1537677543130 2460284069008 3075355086260 6150710172520 12301420345040