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12030312112120 = 23517613115325031
BaseRepresentation
bin1010111100010000011001…
…1110101101111111111000
31120121002100010122221111201
42233010012132231333320
53034101034400041440
641330352111503544
72351106230505151
oct257040636557770
946532303587451
1012030312112120
113919032615335
12142367b227bb4
136935b86337c3
142d83ad670928
1515ce0914c19a
hexaf1067adff8

12030312112120 has 128 divisors (see below), whose sum is σ = 28733249543040. Its totient is φ = 4517568184320.

The previous prime is 12030312112111. The next prime is 12030312112127. The reversal of 12030312112120 is 2121121303021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12030312112127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480604005 + ... + 480629035.

It is an arithmetic number, because the mean of its divisors is an integer number (224478512055).

Almost surely, 212030312112120 is an apocalyptic number.

12030312112120 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 12030312112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14366624771520).

12030312112120 is an abundant number, since it is smaller than the sum of its proper divisors (16702937430920).

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

12030312112120 is a wasteful number, since it uses less digits than its factorization.

12030312112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26825 (or 26821 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12030312112120 its reverse (2121121303021), we get a palindrome (14151433415141).

The spelling of 12030312112120 in words is "twelve trillion, thirty billion, three hundred twelve million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 613 680 1153 1226 2306 2452 3065 4612 4904 5765 6130 9224 10421 11530 12260 19601 20842 23060 24520 25031 39202 41684 46120 50062 52105 78404 83368 98005 100124 104210 125155 156808 196010 200248 208420 250310 392020 416840 425527 500620 706789 784040 851054 1001240 1413578 1702108 2127635 2827156 3404216 3533945 4255270 5654312 7067890 8510540 12015413 14135780 15344003 17021080 24030826 28271560 28860743 30688006 48061652 57721486 60077065 61376012 76720015 96123304 115442972 120154130 122752024 144303715 153440030 230885944 240308260 260848051 288607430 306880060 480616520 490632631 521696102 577214860 613760120 981265262 1043392204 1154429720 1304240255 1962530524 2086784408 2453163155 2608480510 3925061048 4906326310 5216961020 9812652620 10433922040 17691635459 19625305240 35383270918 70766541836 88458177295 141533083672 176916354590 300757802803 353832709180 601515605606 707665418360 1203031211212 1503789014015 2406062422424 3007578028030 6015156056060 12030312112120