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12012992800 = 255267792837
BaseRepresentation
bin10110011000000011…
…11011100100100000
31011000012120021010021
423030001323210200
5144100311232200
65304012043224
7603456516424
oct131401734440
934005507107
1012012992800
115105026326
1223b3163514
131195a63683
1481d640b84
154a498a41a
hex2cc07b920

12012992800 has 144 divisors (see below), whose sum is σ = 30151820160. Its totient is φ = 4671912960.

The previous prime is 12012992791. The next prime is 12012992813. The reversal of 12012992800 is 829921021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4232982 + ... + 4235818.

It is an arithmetic number, because the mean of its divisors is an integer number (209387640).

Almost surely, 212012992800 is an apocalyptic number.

12012992800 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 12012992800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15075910080).

12012992800 is an abundant number, since it is smaller than the sum of its proper divisors (18138827360).

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

12012992800 is a wasteful number, since it uses less digits than its factorization.

12012992800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The spelling of 12012992800 in words is "twelve billion, twelve million, nine hundred ninety-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 67 79 80 100 134 158 160 200 268 316 335 395 400 536 632 670 790 800 1072 1264 1340 1580 1675 1975 2144 2528 2680 2837 3160 3350 3950 5293 5360 5674 6320 6700 7900 10586 10720 11348 12640 13400 14185 15800 21172 22696 26465 26800 28370 31600 42344 45392 52930 53600 56740 63200 70925 84688 90784 105860 113480 132325 141850 169376 190079 211720 224123 226960 264650 283700 380158 423440 448246 453920 529300 567400 760316 846880 896492 950395 1058600 1120615 1134800 1520632 1792984 1900790 2117200 2241230 2269600 3041264 3585968 3801580 4234400 4482460 4751975 5603075 6082528 7171936 7603160 8964920 9503950 11206150 15016241 15206320 17929840 19007900 22412300 30032482 30412640 35859680 38015800 44824600 60064964 75081205 76031600 89649200 120129928 150162410 152063200 179298400 240259856 300324820 375406025 480519712 600649640 750812050 1201299280 1501624100 2402598560 3003248200 6006496400 12012992800