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12446344014412 = 22711131509606041
BaseRepresentation
bin1011010100011110001111…
…1010011110101001001100
31122001212012010002100000111
42311013203322132221030
53112410103031430122
642245434351205404
72423135002360120
oct265074372365114
948055163070014
1012446344014412
113a695127a2160
121490227516864
136c38ba517b59
14310598b0b580
15168b5823dd77
hexb51e3e9ea4c

12446344014412 has 96 divisors (see below), whose sum is σ = 27416758279680. Its totient is φ = 4802745792000.

The previous prime is 12446344014407. The next prime is 12446344014431. The reversal of 12446344014412 is 21441044364421.

It is a super-2 number, since 2×124463440144122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20234112 + ... + 20840152.

It is an arithmetic number, because the mean of its divisors is an integer number (285591232080).

Almost surely, 212446344014412 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 12446344014412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13708379139840).

12446344014412 is an abundant number, since it is smaller than the sum of its proper divisors (14970414265268).

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

12446344014412 is a wasteful number, since it uses less digits than its factorization.

12446344014412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606703 (or 606701 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

Adding to 12446344014412 its reverse (21441044364421), we get a palindrome (33887388378833).

The spelling of 12446344014412 in words is "twelve trillion, four hundred forty-six billion, three hundred forty-four million, fourteen thousand, four hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 131 154 262 308 509 524 917 1018 1441 1834 2036 2882 3563 3668 5599 5764 7126 10087 11198 14252 20174 22396 39193 40348 66679 78386 133358 156772 266716 466753 606041 733469 933506 1212082 1466938 1867012 2424164 2933876 4242287 5134283 6666451 8484574 10268566 13332902 16969148 20537132 26665804 46665157 79391371 93330314 158782742 186660628 308474869 317565484 555739597 616949738 873305081 1111479194 1233899476 1746610162 2159324083 2222958388 3393223559 3493220324 4318648166 6113135567 6786447118 8637296332 12226271134 13572894236 23752564913 24452542268 40410207839 47505129826 80820415678 95010259652 161640831356 282871454873 444512286229 565742909746 889024572458 1131485819492 1778049144916 3111586003603 6223172007206 12446344014412