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12013414000412 = 22112337552758049
BaseRepresentation
bin1010111011010001011101…
…0001100010011100011100
31120112110201110212221001112
42232310113101202130130
53033311432441003122
641314515230401152
72346640412102306
oct256642721423434
946473643787045
1012013414000412
113911951017960
1214203440601b8
13691b24795536
142d7649314976
1515c76a89e2e2
hexaed1746271c

12013414000412 has 96 divisors (see below), whose sum is σ = 24583537843200. Its totient is φ = 5081048248320.

The previous prime is 12013414000409. The next prime is 12013414000501. The reversal of 12013414000412 is 21400041431021.

12013414000412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

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, 206923964 + ... + 206982012.

It is an arithmetic number, because the mean of its divisors is an integer number (256078519200).

Almost surely, 212013414000412 is an apocalyptic number.

It is an amenable number.

12013414000412 is an abundant number, since it is smaller than the sum of its proper divisors (12570123842788).

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

12013414000412 is a wasteful number, since it uses less digits than its factorization.

12013414000412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63651 (or 63649 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 12013414000412 its reverse (21400041431021), we get a palindrome (33413455431433).

The spelling of 12013414000412 in words is "twelve trillion, thirteen billion, four hundred fourteen million, four hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 11 22 23 37 44 46 74 92 148 253 407 506 814 851 1012 1628 1702 3404 5527 9361 11054 18722 22108 37444 58049 60797 116098 121594 127121 204499 232196 243188 254242 408998 508484 638539 817996 1277078 1335127 1398331 2147813 2249489 2554156 2670254 2796662 4295626 4498978 4703477 5340508 5593324 8591252 8997956 9406954 14686397 18813908 23625943 29372794 47251886 49399699 51738247 58745588 94503772 98799398 103476494 197598796 206952988 320836823 543396689 641673646 1086793378 1283347292 2173586756 3529205053 7058410106 7379246929 11870962451 14116820212 14758493858 23741924902 29516987716 47483849804 81171716219 130580586961 162343432438 261161173922 273032136373 324686864876 522322347844 546064272746 1092128545492 3003353500103 6006707000206 12013414000412