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12000103122 = 2372341614967
BaseRepresentation
bin10110010110100001…
…10000101011010010
31010222022022101210210
423023100300223102
5144034011244442
65302431504550
7603242123250
oct131320605322
933868271723
1012000103122
1150a88220a7
1223aa988156
13119319c747
1481ba475d0
154a379119c
hex2cb430ad2

12000103122 has 128 divisors (see below), whose sum is σ = 29806092288. Its totient is φ = 3146457600.

The previous prime is 12000103117. The next prime is 12000103153. The reversal of 12000103122 is 22130100021.

It is a junction number, because it is equal to n+sod(n) for n = 12000103098 and 12000103107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2413483 + ... + 2418449.

It is an arithmetic number, because the mean of its divisors is an integer number (232860096).

Almost surely, 212000103122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000103122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14903046144).

12000103122 is an abundant number, since it is smaller than the sum of its proper divisors (17805989166).

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

12000103122 is a wasteful number, since it uses less digits than its factorization.

12000103122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12000103122 its reverse (22130100021), we get a palindrome (34130203143).

The spelling of 12000103122 in words is "twelve billion, one hundred three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 23 41 42 46 61 69 82 122 123 138 161 183 246 287 322 366 427 483 574 854 861 943 966 1281 1403 1722 1886 2501 2562 2806 2829 4209 4967 5002 5658 6601 7503 8418 9821 9934 13202 14901 15006 17507 19642 19803 29463 29802 34769 35014 39606 52521 57523 58926 69538 104307 105042 114241 115046 172569 203647 208614 228482 302987 342723 345138 402661 407294 605974 610941 685446 799687 805322 908961 1207983 1221882 1425529 1599374 1817922 2120909 2399061 2415966 2851058 4241818 4276587 4683881 4798122 6362727 6968701 8553174 9367762 12422467 12725454 13937402 14051643 20906103 24844934 28103286 32787167 37267401 41812206 48780907 65574334 74534802 86957269 97561814 98361501 146342721 173914538 196723002 260871807 285716741 292685442 521743614 571433482 857150223 1714300446 2000017187 4000034374 6000051561 12000103122