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12000001208 = 231317107229277
BaseRepresentation
bin10110010110100000…
…10111110010111000
31010222022010020000012
423023100113302320
5144034000014313
65302425401052
7603241220156
oct131320276270
933868106005
1012000001208
1150a8762578
1223aa939188
131193165240
1481ba1c3d6
154a3770da8
hex2cb417cb8

12000001208 has 128 divisors (see below), whose sum is σ = 26102865600. Its totient is φ = 5122842624.

The previous prime is 12000001159. The next prime is 12000001231. The reversal of 12000001208 is 80210000021.

12000001208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12000001192 and 12000001201.

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 31 ways as a sum of consecutive naturals, for example, 43321166 + ... + 43321442.

Almost surely, 212000001208 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 12000001208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13051432800).

12000001208 is an abundant number, since it is smaller than the sum of its proper divisors (14102864392).

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

12000001208 is a wasteful number, since it uses less digits than its factorization.

12000001208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12000001208 its reverse (80210000021), we get a palindrome (92210001229).

The spelling of 12000001208 in words is "twelve billion, one thousand, two hundred eight".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 107 136 214 221 229 277 428 442 458 554 856 884 916 1108 1391 1768 1819 1832 2216 2782 2977 3601 3638 3893 4709 5564 5954 7202 7276 7786 9418 11128 11908 14404 14552 15572 18836 23647 23816 24503 28808 29639 31144 37672 47294 49006 50609 59278 61217 63433 94588 98012 101218 118556 122434 126866 189176 196024 202436 237112 244868 253732 318539 385307 404872 416551 489736 503863 507464 637078 770614 824629 833102 1007726 1078361 1274156 1541228 1649258 1666204 2015452 2156722 2548312 3082456 3298516 3332408 4030904 4313444 5415163 6550219 6597032 6787331 8626888 10830326 13100438 13574662 14018693 21660652 26200876 27149324 28037386 43321304 52401752 54298648 56074772 88235303 112149544 115384627 176470606 230769254 352941212 461538508 705882424 923077016 1500000151 3000000302 6000000604 12000001208