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12711234000 = 2435313731543
BaseRepresentation
bin10111101011010011…
…00000100111010000
31012210212102120222110
423311221200213100
5202013033442000
65501153505320
7626665464153
oct136551404720
935725376873
1012711234000
115433184273
122568b72240
13127760834a
1488827bc9a
154e5e11850
hex2f5a609d0

12711234000 has 160 divisors (see below), whose sum is σ = 41037444864. Its totient is φ = 3384998400.

The previous prime is 12711233963. The next prime is 12711234013. The reversal of 12711234000 is 43211721.

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, 8237229 + ... + 8238771.

Almost surely, 212711234000 is an apocalyptic number.

12711234000 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 12711234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20518722432).

12711234000 is an abundant number, since it is smaller than the sum of its proper divisors (28326210864).

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

12711234000 is a wasteful number, since it uses less digits than its factorization.

12711234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 12711234000 its reverse (43211721), we get a palindrome (12754445721).

The spelling of 12711234000 in words is "twelve billion, seven hundred eleven million, two hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1373 1500 1543 2000 2746 3000 3086 4119 4629 5492 6000 6172 6865 7715 8238 9258 10984 12344 13730 15430 16476 18516 20595 21968 23145 24688 27460 30860 32952 34325 37032 38575 41190 46290 54920 61720 65904 68650 74064 77150 82380 92580 102975 109840 115725 123440 137300 154300 164760 171625 185160 192875 205950 231450 274600 308600 329520 343250 370320 385750 411900 462900 514875 549200 578625 617200 686500 771500 823800 925800 1029750 1157250 1373000 1543000 1647600 1851600 2059500 2118539 2314500 2746000 3086000 4119000 4237078 4629000 6355617 8238000 8474156 9258000 10592695 12711234 16948312 21185390 25422468 31778085 33896624 42370780 50844936 52963475 63556170 84741560 101689872 105926950 127112340 158890425 169483120 211853900 254224680 264817375 317780850 423707800 508449360 529634750 635561700 794452125 847415600 1059269500 1271123400 1588904250 2118539000 2542246800 3177808500 4237078000 6355617000 12711234000