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12000341276 = 22721117378849
BaseRepresentation
bin10110010110100011…
…01010110100011100
31010222022202111111022
423023101222310130
5144034041410101
65302440543312
7603244134500
oct131321526434
933868674438
1012000341276
1150a8975020
1223aaa81b38
131193253c71
1481baaa300
154a37dba1b
hex2cb46ad1c

12000341276 has 144 divisors (see below), whose sum is σ = 28983679200. Its totient is φ = 4281016320.

The previous prime is 12000341251. The next prime is 12000341299. The reversal of 12000341276 is 67214300021.

12000341276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1351700 + ... + 1360548.

It is an arithmetic number, because the mean of its divisors is an integer number (201275550).

Almost surely, 212000341276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000341276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14491839600).

12000341276 is an abundant number, since it is smaller than the sum of its proper divisors (16983337924).

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

12000341276 is a wasteful number, since it uses less digits than its factorization.

12000341276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8932 (or 8923 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

Adding to 12000341276 its reverse (67214300021), we get a palindrome (79214641297).

The spelling of 12000341276 in words is "twelve billion, three hundred forty-one thousand, two hundred seventy-six".

Divisors: 1 2 4 7 11 14 17 22 28 34 37 44 49 68 74 77 98 119 148 154 187 196 238 259 308 374 407 476 518 539 629 748 814 833 1036 1078 1258 1309 1628 1666 1813 2156 2516 2618 2849 3332 3626 4403 5236 5698 6919 7252 8806 8849 9163 11396 13838 17612 17698 18326 19943 27676 30821 35396 36652 39886 48433 61642 61943 79772 96866 97339 123284 123886 150433 193732 194678 247772 300866 327413 339031 389356 433601 601732 654826 678062 681373 867202 1053031 1309652 1356124 1362746 1654763 1734404 2106062 2291891 2725492 3309526 3601543 4212124 4583782 4769611 5566021 6619052 7203086 7371217 9167564 9539222 11132042 11583341 14406172 14742434 16043237 19078444 22264084 23166682 25210801 29484868 32086474 38962147 46333364 50421602 61226231 64172948 77924294 81083387 100843204 122452462 155848588 162166774 176475607 244904924 272735029 324333548 352951214 428583617 545470058 705902428 857167234 1090940116 1714334468 3000085319 6000170638 12000341276