Search a number
-
+
12001022110012 = 2213260131919257
BaseRepresentation
bin1010111010100011010010…
…1010001110100100111100
31120111021201212100200010211
42232220310222032210330
53033111043130010022
641305105441242204
72346021341551045
oct256506452164474
946437655320124
1012001022110012
11390767212a221
121419a66033364
136908cb39b700
142d6bd16438cc
1515c292a1ce77
hexaea34a8e93c

12001022110012 has 72 divisors (see below), whose sum is σ = 22789021604832. Its totient is φ = 5527387008000.

The previous prime is 12001022109983. The next prime is 12001022110043. The reversal of 12001022110012 is 21001122010021.

12001022110012 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 (13).

It is a junction number, because it is equal to n+sod(n) for n = 12001022109974 and 12001022110001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1296422088 + ... + 1296431344.

It is an arithmetic number, because the mean of its divisors is an integer number (316514188956).

Almost surely, 212001022110012 is an apocalyptic number.

It is an amenable number.

12001022110012 is a deficient number, since it is larger than the sum of its proper divisors (10787999494820).

12001022110012 is a wasteful number, since it uses less digits than its factorization.

12001022110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13079 (or 13064 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12001022110012 its reverse (21001122010021), we get a palindrome (33002144120033).

Subtracting 12001022110012 from its reverse (21001122010021), we obtain a palindrome (9000099900009).

The spelling of 12001022110012 in words is "twelve trillion, one billion, twenty-two million, one hundred ten thousand, twelve".

Divisors: 1 2 4 13 26 52 169 338 601 676 1202 2404 3191 6382 7813 9257 12764 15626 18514 31252 37028 41483 82966 101569 120341 165932 203138 240682 406276 481364 539279 1078558 1564433 1917791 2157116 3128866 3835582 5563457 6257732 7671164 11126914 22253828 24931283 29539087 49862566 59078174 72324941 99725132 118156348 144649882 289299764 324106679 384008131 648213358 768016262 940224233 1296426716 1536032524 1880448466 3760896932 4992105703 9984211406 17752991287 19968422812 35505982574 71011965148 230788886731 461577773462 923155546924 3000255527503 6000511055006 12001022110012