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12112006466 = 27311491571193
BaseRepresentation
bin10110100011110111…
…01000110101000010
31011021002212200100002
423101323220311002
5144301133201331
65321510200002
7606101233130
oct132173506502
934232780302
1012112006466
115155a037aa
122420353002
1311b0420241
1482c856750
154ad4e79cb
hex2d1ee8d42

12112006466 has 64 divisors (see below), whose sum is σ = 21732710400. Its totient is φ = 4953761280.

The previous prime is 12112006453. The next prime is 12112006469. The reversal of 12112006466 is 66460021121.

12112006466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12112006469) by changing a digit.

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, 10151966 + ... + 10153158.

It is an arithmetic number, because the mean of its divisors is an integer number (339573600).

Almost surely, 212112006466 is an apocalyptic number.

12112006466 is a deficient number, since it is larger than the sum of its proper divisors (9620703934).

12112006466 is a wasteful number, since it uses less digits than its factorization.

12112006466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539.

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 12112006466 its reverse (66460021121), we get a palindrome (78572027587).

The spelling of 12112006466 in words is "twelve billion, one hundred twelve million, six thousand, four hundred sixty-six".

Divisors: 1 2 7 14 31 62 149 157 217 298 314 434 1043 1099 1193 2086 2198 2386 4619 4867 8351 9238 9734 16702 23393 32333 34069 36983 46786 64666 68138 73966 163751 177757 187301 258881 327502 355514 374602 517762 725183 1244299 1311107 1450366 2488598 2622214 5076281 5510467 5806331 10152562 11020934 11612662 27907849 38573269 40644317 55815698 77146538 81288634 195354943 390709886 865143319 1730286638 6056003233 12112006466