Search a number
-
+
12012001101022 = 2132923719974609
BaseRepresentation
bin1010111011001100001100…
…0011110000010011011110
31120112100002000021012110111
42232303003003300103132
53033301034240213042
641314123115200234
72346560404463146
oct256630303602336
946470060235414
1012012001101022
11391129651870a
12142000aa4607a
1369195ab4b5b0
142d7553805926
1515c6d680c517
hexaecc30f04de

12012001101022 has 96 divisors (see below), whose sum is σ = 20743310952000. Its totient is φ = 5181915949056.

The previous prime is 12012001101013. The next prime is 12012001101049. The reversal of 12012001101022 is 22010110021021.

12012001101022 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 = 12012001100993 and 12012001101011.

It is a congruent number.

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, 160962054 + ... + 161036662.

It is an arithmetic number, because the mean of its divisors is an integer number (216076155750).

Almost surely, 212012001101022 is an apocalyptic number.

12012001101022 is a deficient number, since it is larger than the sum of its proper divisors (8731309850978).

12012001101022 is a wasteful number, since it uses less digits than its factorization.

12012001101022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74918 (or 74889 counting only the distinct ones).

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

Adding to 12012001101022 its reverse (22010110021021), we get a palindrome (34022111122043).

The spelling of 12012001101022 in words is "twelve trillion, twelve billion, one million, one hundred one thousand, twenty-two".

Divisors: 1 2 13 26 29 37 58 74 199 377 398 481 754 841 962 1073 1682 2146 2587 5174 5771 7363 10933 11542 13949 14726 21866 27898 31117 62234 74609 75023 95719 149218 150046 167359 191438 213527 334718 404521 427054 809042 969917 1939834 2163661 2175667 2760533 2775851 4327322 4351334 5521066 5551702 6192283 12384566 14847191 28127593 29694382 35886929 56255186 62746169 71773858 80055457 80499679 125492338 160110914 160999358 193013483 386026966 430568539 549346067 815700197 861137078 1040720941 1098692134 1631400394 2081441882 2321608253 4643216506 5597391007 7141498871 11194782014 12486487631 14282997742 15931035943 24972975262 30180907289 31862071886 60361814578 162324339203 207103467259 324648678406 414206934518 462000042347 924000084694 6006000550511 12012001101022