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12104020110240 = 25345933952169
BaseRepresentation
bin1011000000100010111111…
…0100011010101110100000
31120212010120222021012120000
42300020233310122232200
53041303013122011430
641424302102020000
72356325621243022
oct260105764325640
946763528235500
1012104020110240
11394731688a263
121435a0ba17600
1369a534042386
142dbba290a012
1515ecc0053e60
hexb022fd1aba0

12104020110240 has 120 divisors (see below), whose sum is σ = 42717104351460. Its totient is φ = 3227738692608.

The previous prime is 12104020110139. The next prime is 12104020110241. The reversal of 12104020110240 is 4201102040121.

12104020110240 is a `hidden beast` number, since 1 + 2 + 10 + 402 + 0 + 1 + 10 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12103969813776 + 50296464 = 3479076^2 + 7092^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (12104020110241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 466963125 + ... + 466989044.

Almost surely, 212104020110240 is an apocalyptic number.

12104020110240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12104020110240 is an abundant number, since it is smaller than the sum of its proper divisors (30613084241220).

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

12104020110240 is an equidigital number, since it uses as much as digits as its factorization.

12104020110240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933952196 (or 933952179 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12104020110240 its reverse (4201102040121), we get a palindrome (16305122150361).

The spelling of 12104020110240 in words is "twelve trillion, one hundred four billion, twenty million, one hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 933952169 1867904338 2801856507 3735808676 4669760845 5603713014 7471617352 8405569521 9339521690 11207426028 14009282535 14943234704 16811139042 18679043380 22414852056 25216708563 28018565070 29886469408 33622278084 37358086760 42027847605 44829704112 50433417126 56037130140 67244556168 74716173520 75650125689 84055695210 89659408224 100866834252 112074260280 126083542815 134489112336 149432347040 151300251378 168111390420 201733668504 224148520560 252167085630 268978224672 302600502756 336222780840 378250628445 403467337008 448297041120 504334171260 605201005512 672445561680 756501256890 806934674016 1008668342520 1210402011024 1344891123360 1513002513780 2017336685040 2420804022048 3026005027560 4034673370080 6052010055120 12104020110240