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12227012025606 = 23271012294195589
BaseRepresentation
bin1011000111101101001010…
…1101010101110100000110
31121021220001111020212100200
42301323102231111310012
53100311410034304411
642001002313351330
72401241520256530
oct261732255256406
947256044225320
1012227012025606
1139944a0592704
121455815708546
136a9005040161
14303b0d352850
151630bca02e56
hexb1ed2b55d06

12227012025606 has 96 divisors (see below), whose sum is σ = 30709704916800. Its totient is φ = 3443738630400.

The previous prime is 12227012025593. The next prime is 12227012025629. The reversal of 12227012025606 is 60652021072221.

12227012025606 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 7 + 0 + 1 + 20 + 25 + 606 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 816460 + ... + 5012048.

It is an arithmetic number, because the mean of its divisors is an integer number (319892759550).

Almost surely, 212227012025606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12227012025606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15354852458400).

12227012025606 is an abundant number, since it is smaller than the sum of its proper divisors (18482692891194).

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

12227012025606 is a wasteful number, since it uses less digits than its factorization.

12227012025606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195934 (or 4195931 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 12227012025606 its reverse (60652021072221), we get a palindrome (72879033097827).

The spelling of 12227012025606 in words is "twelve trillion, two hundred twenty-seven billion, twelve million, twenty-five thousand, six hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 229 303 458 606 687 707 909 1374 1414 1603 1818 2061 2121 3206 4122 4242 4809 6363 9618 12726 14427 23129 28854 46258 69387 138774 161903 208161 323806 416322 485709 971418 1457127 2914254 4195589 8391178 12586767 25173534 29369123 37760301 58738246 75520602 88107369 176214738 264322107 423754489 528644214 847508978 960789881 1271263467 1921579762 2542526934 2882369643 2966281423 3813790401 5764739286 5932562846 6725529167 7627580802 8647108929 8898844269 13451058334 17294217858 17797688538 20176587501 26696532807 40353175002 53393065614 60529762503 97039777981 121059525006 194079555962 291119333943 582238667886 679278445867 873358001829 1358556891734 1746716003658 2037835337601 4075670675202 6113506012803 12227012025606