Search a number
-
+
12121102012112 = 2410727192603929
BaseRepresentation
bin1011000001100010100111…
…1110101100111011010000
31120220202200102212201201022
42300120221332230323100
53042043004103341422
641440205110255012
72360502131101142
oct260305176547320
946822612781638
1012121102012112
1139535920a8a35
121439198657468
1369c026cb0712
142dc943428c92
1516046ea08342
hexb0629faced0

12121102012112 has 40 divisors (see below), whose sum is σ = 23712844780800. Its totient is φ = 6001699905792.

The previous prime is 12121102012027. The next prime is 12121102012157. The reversal of 12121102012112 is 21121020112121.

12121102012112 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 2×121211020121122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3352964 + ... + 5956892.

It is an arithmetic number, because the mean of its divisors is an integer number (592821119520).

Almost surely, 212121102012112 is an apocalyptic number.

It is an amenable number.

12121102012112 is a deficient number, since it is larger than the sum of its proper divisors (11591742768688).

12121102012112 is a wasteful number, since it uses less digits than its factorization.

12121102012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606763 (or 2606757 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12121102012112 its reverse (21121020112121), we get a palindrome (33242122124233).

The spelling of 12121102012112 in words is "twelve trillion, one hundred twenty-one billion, one hundred two million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 107 214 428 856 1712 2719 5438 10876 21752 43504 290933 581866 1163732 2327464 2603929 4654928 5207858 10415716 20831432 41662864 278620403 557240806 1114481612 2228963224 4457926448 7080082951 14160165902 28320331804 56640663608 113281327216 757568875757 1515137751514 3030275503028 6060551006056 12121102012112