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12534521312012 = 22722997169913381
BaseRepresentation
bin1011011001100110101110…
…1100001011001100001100
31122101021210100020011111112
42312121223230023030030
53120331144423441022
642354140220511152
72432406060133400
oct266315354131414
948337710204445
1012534521312012
113aa2951562a27
1214a53359ab4b8
136cc00082b8ab
14314961903100
1516b0b957a8e2
hexb666bb0b30c

12534521312012 has 144 divisors (see below), whose sum is σ = 26686411164000. Its totient is φ = 5129822638080.

The previous prime is 12534521312009. The next prime is 12534521312051. The reversal of 12534521312012 is 21021312543521.

12534521312012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×125345213120122 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12534521312012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 936733562 + ... + 936746942.

It is an arithmetic number, because the mean of its divisors is an integer number (185322299750).

Almost surely, 212534521312012 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 12534521312012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13343205582000).

12534521312012 is an abundant number, since it is smaller than the sum of its proper divisors (14151889851988).

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

12534521312012 is a wasteful number, since it uses less digits than its factorization.

12534521312012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15224 (or 15215 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 12534521312012 its reverse (21021312543521), we get a palindrome (33555833855533).

The spelling of 12534521312012 in words is "twelve trillion, five hundred thirty-four billion, five hundred twenty-one million, three hundred twelve thousand, twelve".

Divisors: 1 2 4 7 14 28 29 49 58 97 98 116 194 196 203 388 406 679 812 1358 1421 1699 2716 2813 2842 3398 4753 5626 5684 6796 9506 11252 11893 13381 19012 19691 23786 26762 39382 47572 49271 53524 78764 83251 93667 98542 137837 164803 166502 187334 197084 275674 329606 333004 344897 374668 388049 551348 655669 659212 689794 776098 1153621 1297957 1311338 1379588 1552196 2307242 2414279 2595914 2622676 2716343 4614484 4779287 4828558 5191828 5432686 8075347 9085699 9558574 9657116 10865372 16150694 18171398 19014401 19117148 22734319 32301388 33455009 36342796 37640753 38028802 45468638 63599893 66910018 75281506 76057604 90937276 127199786 133820036 150563012 159140233 234185063 254399572 263485271 318280466 468370126 526970542 636560932 659295251 936740252 1053941084 1113981631 1318590502 1844396897 2205228943 2227963262 2637181004 3688793794 4410457886 4455926524 4615066757 7377587588 8820915772 9230133514 15436602601 18460267028 30873205202 32305467299 61746410404 63951639347 64610934598 108056218207 127903278694 129221869196 216112436414 255806557388 432224872828 447661475429 895322950858 1790645901716 3133630328003 6267260656006 12534521312012