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12041212461606 = 23229374631346533
BaseRepresentation
bin1010111100111001000000…
…1100010000001000100110
31120122010110210121001221100
42233032100030100020212
53034240400342232411
641335353500100530
72351643320112546
oct257162014201046
946563423531840
1012041212461606
113922716580229
121425801834746
13694634a0a743
142d8b25201326
1515d3460a5456
hexaf390310226

12041212461606 has 96 divisors (see below), whose sum is σ = 27778242360960. Its totient is φ = 3762447397632.

The previous prime is 12041212461599. The next prime is 12041212461631. The reversal of 12041212461606 is 60616421214021.

12041212461606 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 1 + 2 + 1 + 2 + 46 + 1 + 606 = 666.

It is a Curzon number.

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, 8269116 + ... + 9615648.

It is an arithmetic number, because the mean of its divisors is an integer number (289356691260).

Almost surely, 212041212461606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12041212461606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13889121180480).

12041212461606 is an abundant number, since it is smaller than the sum of its proper divisors (15737029899354).

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

12041212461606 is a wasteful number, since it uses less digits than its factorization.

12041212461606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347070 (or 1347067 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 12041212461606 its reverse (60616421214021), we get a palindrome (72657633675627).

The spelling of 12041212461606 in words is "twelve trillion, forty-one billion, two hundred twelve million, four hundred sixty-one thousand, six hundred six".

Divisors: 1 2 3 6 9 18 29 37 58 74 87 111 174 222 261 333 463 522 666 926 1073 1389 2146 2778 3219 4167 6438 8334 9657 13427 17131 19314 26854 34262 40281 51393 80562 102786 120843 154179 241686 308358 496799 993598 1346533 1490397 2693066 2980794 4039599 4471191 8079198 8942382 12118797 24237594 39049457 49821721 78098914 99643442 117148371 149465163 234296742 298930326 351445113 448395489 623444779 702890226 896790978 1246889558 1444829909 1870334337 2889659818 3740668674 4334489727 5611003011 8668979454 11222006022 13003469181 18079898591 23067456823 26006938362 36159797182 46134913646 54239695773 69202370469 108479391546 138404740938 162719087319 207607111407 325438174638 415214222814 668956247867 1337912495734 2006868743601 4013737487202 6020606230803 12041212461606