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12141031320 = 23325113065917
BaseRepresentation
bin10110100111010100…
…10110111110011000
31011100010111021221200
423103222112332120
5144331101000240
65324424234200
7606603030525
oct132352267630
934303437850
1012141031320
115170328590
12242a00b960
1311b6443402
1483265014c
154b0d2c930
hex2d3a96f98

12141031320 has 96 divisors (see below), whose sum is σ = 43045488720. Its totient is φ = 2943279360.

The previous prime is 12141031303. The next prime is 12141031349. The reversal of 12141031320 is 2313014121.

12141031320 is a `hidden beast` number, since 121 + 410 + 3 + 132 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12141031293 and 12141031302.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1528999 + ... + 1536918.

Almost surely, 212141031320 is an apocalyptic number.

12141031320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12141031320 is an abundant number, since it is smaller than the sum of its proper divisors (30904457400).

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

12141031320 is a wasteful number, since it uses less digits than its factorization.

12141031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065945 (or 3065938 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12141031320 its reverse (2313014121), we get a palindrome (14454045441).

The spelling of 12141031320 in words is "twelve billion, one hundred forty-one million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 3065917 6131834 9197751 12263668 15329585 18395502 24527336 27593253 30659170 33725087 36791004 45988755 55186506 61318340 67450174 73582008 91977510 101175261 110373012 122636680 134900348 137966265 168625435 183955020 202350522 220746024 269800696 275932530 303525783 337250870 367910040 404701044 505876305 551865060 607051566 674501740 809402088 1011752610 1103730120 1214103132 1349003480 1517628915 2023505220 2428206264 3035257830 4047010440 6070515660 12141031320