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12105203500221 = 3133121737718587
BaseRepresentation
bin1011000000100111011001…
…0110101100010010111101
31120212020122110000122102120
42300021312112230102331
53041312424044001341
641425015334113153
72356400141011416
oct260116626542275
946766573018376
1012105203500221
113947873880707
1214360a01ab7b9
1369a69226c430
142dbc75b5480d
1515ed3ddad066
hexb02765ac4bd

12105203500221 has 48 divisors (see below), whose sum is σ = 17962622056512. Its totient is φ = 7208251499520.

The previous prime is 12105203500217. The next prime is 12105203500321. The reversal of 12105203500221 is 12200530250121.

12105203500221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12105203500221 - 22 = 12105203500217 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12105203500191 and 12105203500200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12105203500211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651263290 + ... + 651281876.

It is an arithmetic number, because the mean of its divisors is an integer number (374221292844).

Almost surely, 212105203500221 is an apocalyptic number.

It is an amenable number.

12105203500221 is a deficient number, since it is larger than the sum of its proper divisors (5857418556291).

12105203500221 is a wasteful number, since it uses less digits than its factorization.

12105203500221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36042 (or 36011 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 12105203500221 its reverse (12200530250121), we get a palindrome (24305733750342).

The spelling of 12105203500221 in words is "twelve trillion, one hundred five billion, two hundred three million, five hundred thousand, two hundred twenty-one".

Divisors: 1 3 13 31 39 93 403 961 1209 2883 12493 17377 18587 37479 52131 55761 225901 241631 538687 576197 677703 724893 1616061 1728591 7002931 7490561 16699297 17862107 21008793 22471683 50097891 53586321 217090861 232207391 322986299 651272583 696622173 968958897 4198821887 10012575269 12596465661 30037725807 130163478497 310389833339 390490435491 931169500017 4035067833407 12105203500221