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12278028637820 = 225112292143113723
BaseRepresentation
bin1011001010101011001110…
…0010010001011001111100
31121110202201221000021202202
42302222303202101121330
53102130400312402240
642040240512411032
72405025665312351
oct262526342213174
947422657007682
1012278028637820
113a040a0095540
121463692b46a78
136b0a755b546a
1430638cab6628
151645a675b315
hexb2ab389167c

12278028637820 has 96 divisors (see below), whose sum is σ = 28264107755520. Its totient is φ = 4443127637760.

The previous prime is 12278028637813. The next prime is 12278028637837. The reversal of 12278028637820 is 2873682087221.

12278028637820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122780286378202 (a number of 27 digits) contains 22 as substring.

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, 107907479 + ... + 108021201.

It is an arithmetic number, because the mean of its divisors is an integer number (294417789120).

Almost surely, 212278028637820 is an apocalyptic number.

12278028637820 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 12278028637820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14132053877760).

12278028637820 is an abundant number, since it is smaller than the sum of its proper divisors (15986079117700).

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

12278028637820 is a wasteful number, since it uses less digits than its factorization.

12278028637820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116115 (or 116113 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 56.

The spelling of 12278028637820 in words is "twelve trillion, two hundred seventy-eight billion, twenty-eight million, six hundred thirty-seven thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 229 458 916 1145 2143 2290 2519 4286 4580 5038 8572 10076 10715 12595 21430 23573 25190 42860 47146 50380 94292 113723 117865 227446 235730 454892 471460 490747 568615 981494 1137230 1250953 1962988 2274460 2453735 2501906 4907470 5003812 5398217 6254765 9814940 10796434 12509530 21592868 25019060 26042567 26991085 52085134 53982170 104170268 107964340 130212835 243708389 260425670 286468237 487416778 520851340 572936474 974833556 1145872948 1218541945 1432341185 2437083890 2680792279 2864682370 4874167780 5361584558 5729364740 10723169116 13403961395 26807922790 53615845580 55809221081 111618442162 223236884324 279046105405 558092210810 613901431891 1116184421620 1227802863782 2455605727564 3069507159455 6139014318910 12278028637820