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12045140335320 = 2335673121480023
BaseRepresentation
bin1010111101000111101001…
…0011111001101011011000
31120122111121112120201201120
42233101322103321223120
53034321421411212240
641341243332045240
72352142543355451
oct257217223715330
946574545521646
1012045140335320
113924351780954
121426519163820
13694b0c6c7881
142d8db8b3c128
1515d4c5d2ead0
hexaf47a4f9ad8

12045140335320 has 128 divisors (see below), whose sum is σ = 36686583037440. Its totient is φ = 3163076167680.

The previous prime is 12045140335313. The next prime is 12045140335451. The reversal of 12045140335320 is 2353304154021.

It is a congruent number.

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, 24852829 + ... + 25332851.

It is an arithmetic number, because the mean of its divisors is an integer number (286613929980).

Almost surely, 212045140335320 is an apocalyptic number.

12045140335320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12045140335320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18343291518720).

12045140335320 is an abundant number, since it is smaller than the sum of its proper divisors (24641442702120).

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

12045140335320 is a wasteful number, since it uses less digits than its factorization.

12045140335320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483225 (or 483221 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 12045140335320 its reverse (2353304154021), we get a palindrome (14398444489341).

The spelling of 12045140335320 in words is "twelve trillion, forty-five billion, one hundred forty million, three hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 3121 4020 6242 8040 9363 12484 15605 18726 24968 31210 37452 46815 62420 74904 93630 124840 187260 209107 374520 418214 480023 627321 836428 960046 1045535 1254642 1440069 1672856 1920092 2091070 2400115 2509284 2880138 3136605 3840184 4182140 4800230 5018568 5760276 6273210 7200345 8364280 9600460 11520552 12546420 14400690 19200920 25092840 28801380 32161541 57602760 64323082 96484623 128646164 160807705 192969246 257292328 321615410 385938492 482423115 643230820 771876984 964846230 1286461640 1498151783 1929692460 2996303566 3859384920 4494455349 5992607132 7490758915 8988910698 11985214264 14981517830 17977821396 22472276745 29963035660 35955642792 44944553490 59926071320 89889106980 100376169461 179778213960 200752338922 301128508383 401504677844 501880847305 602257016766 803009355688 1003761694610 1204514033532 1505642541915 2007523389220 2409028067064 3011285083830 4015046778440 6022570167660 12045140335320