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12142430312012 = 22711134481676763
BaseRepresentation
bin1011000010110010000100…
…1111101101011001001100
31120222210201211211121212122
42300230201033231121030
53042420144124441022
641454053325552112
72362155512463410
oct260544117553114
946883654747778
1012142430312012
1139616373a4370
12144134b415638
136a1045921510
142dd9a7cbad40
15160cbc1a4742
hexb0b213ed64c

12142430312012 has 96 divisors (see below), whose sum is σ = 28536874781184. Its totient is φ = 4365927014400.

The previous prime is 12142430311967. The next prime is 12142430312027. The reversal of 12142430312012 is 21021303424121.

It is a happy number.

It is a super-3 number, since 3×121424303120123 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 17603543 + ... + 18280305.

It is an arithmetic number, because the mean of its divisors is an integer number (297259112304).

Almost surely, 212142430312012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12142430312012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14268437390592).

12142430312012 is an abundant number, since it is smaller than the sum of its proper divisors (16394444469172).

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

12142430312012 is a wasteful number, since it uses less digits than its factorization.

12142430312012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681279 (or 681277 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 12142430312012 its reverse (21021303424121), we get a palindrome (33163733736133).

The spelling of 12142430312012 in words is "twelve trillion, one hundred forty-two billion, four hundred thirty million, three hundred twelve thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 4481 8962 17924 31367 49291 58253 62734 98582 116506 125468 197164 233012 345037 407771 640783 676763 690074 815542 1281566 1353526 1380148 1631084 2563132 2707052 4485481 4737341 7444393 8797919 8970962 9474682 14888786 17595838 17941924 18949364 29777572 35191676 52110751 61585433 96777109 104221502 123170866 193554218 208443004 246341732 387108436 677439763 1354879526 2709759052 3032575003 6065150006 12130300012 21228025021 33358325033 39423475039 42456050042 66716650066 78846950078 84912100084 133433300132 157693900156 233508275231 275964325273 433658225429 467016550462 551928650546 867316450858 934033100924 1103857301092 1734632901716 3035607578003 6071215156006 12142430312012