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12042212331420 = 22325172231491971
BaseRepresentation
bin1010111100111100101111…
…0010011100111110011100
31120122020001111000201110200
42233033023302130332130
53034244422324101140
641340041014503500
72352010150632105
oct257171362347634
946566044021420
1012042212331420
113923089a15217
121425a40664b90
13694763c0059b
142d8bbbd173ac
1515d3a3c5d030
hexaf3cbc9cf9c

12042212331420 has 108 divisors (see below), whose sum is σ = 38803147330584. Its totient is φ = 3022359160320.

The previous prime is 12042212331377. The next prime is 12042212331421. The reversal of 12042212331420 is 2413321224021.

12042212331420 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 2 + 2 + 1 + 233 + 1 + 420 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12042212331421) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115693966 + ... + 115798005.

Almost surely, 212042212331420 is an apocalyptic number.

12042212331420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12042212331420 is an abundant number, since it is smaller than the sum of its proper divisors (26760934999164).

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

12042212331420 is a wasteful number, since it uses less digits than its factorization.

12042212331420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231492020 (or 231491998 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12042212331420 its reverse (2413321224021), we get a palindrome (14455533555441).

The spelling of 12042212331420 in words is "twelve trillion, forty-two billion, two hundred twelve million, three hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 289 306 340 510 578 612 765 867 1020 1156 1445 1530 1734 2601 2890 3060 3468 4335 5202 5780 8670 10404 13005 17340 26010 52020 231491971 462983942 694475913 925967884 1157459855 1388951826 2083427739 2314919710 2777903652 3472379565 3935363507 4166855478 4629839420 6944759130 7870727014 8333710956 10417138695 11806090521 13889518260 15741454028 19676817535 20834277390 23612181042 35418271563 39353635070 41668554780 47224362084 59030452605 66901179619 70836543126 78707270140 118060905210 133802359238 141673086252 177091357815 200703538857 236121810420 267604718476 334505898095 354182715630 401407077714 602110616571 669011796190 708365431260 802814155428 1003517694285 1204221233142 1338023592380 2007035388570 2408442466284 3010553082855 4014070777140 6021106165710 12042212331420