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12012431314230 = 2335313738788567
BaseRepresentation
bin1010111011001101110010…
…1100111000110100110110
31120112101011222210022001000
42232303130230320310312
53033302424404023410
641314233524144130
72346604150312104
oct256633454706466
946471158708030
1012012431314230
11391149734a216
12142010ab38046
136919c900ac19
142d75949d2c74
1515c70e48cdc0
hexaecdcb38d36

12012431314230 has 128 divisors (see below), whose sum is σ = 33960167055360. Its totient is φ = 3016198892160.

The previous prime is 12012431314151. The next prime is 12012431314231. The reversal of 12012431314230 is 3241313421021.

12012431314230 is a `hidden beast` number, since 1 + 201 + 2 + 4 + 3 + 1 + 31 + 423 + 0 = 666.

It is a super-3 number, since 3×120124313142303 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12012431314194 and 12012431314203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012431314231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19084594 + ... + 19703973.

It is an arithmetic number, because the mean of its divisors is an integer number (265313805120).

Almost surely, 212012431314230 is an apocalyptic number.

12012431314230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12012431314230 is an abundant number, since it is smaller than the sum of its proper divisors (21947735741130).

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

12012431314230 is a wasteful number, since it uses less digits than its factorization.

12012431314230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38788651 (or 38788645 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12012431314230 its reverse (3241313421021), we get a palindrome (15253744735251).

The spelling of 12012431314230 in words is "twelve trillion, twelve billion, four hundred thirty-one million, three hundred fourteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 37 45 54 62 74 90 93 111 135 155 185 186 222 270 279 310 333 370 465 555 558 666 837 930 999 1110 1147 1395 1665 1674 1998 2294 2790 3330 3441 4185 4995 5735 6882 8370 9990 10323 11470 17205 20646 30969 34410 51615 61938 103230 154845 309690 38788567 77577134 116365701 193942835 232731402 349097103 387885670 581828505 698194206 1047291309 1163657010 1202445577 1435176979 1745485515 2094582618 2404891154 2870353958 3490971030 3607336731 4305530937 5236456545 6012227885 7175884895 7214673462 8611061874 10472913090 10822010193 12024455770 12916592811 14351769790 18036683655 21527654685 21644020386 25833185622 32466030579 36073367310 38749778433 43055309370 44490486349 54110050965 64582964055 64932061158 77499556866 88980972698 108220101930 129165928110 133471459047 162330152895 193748892165 222452431745 266942918094 324660305790 387497784330 400414377141 444904863490 667357295235 800828754282 1201243131423 1334714590470 2002071885705 2402486262846 4004143771410 6006215657115 12012431314230