Search a number
-
+
12110221111122 = 23229106121865841
BaseRepresentation
bin1011000000111010000101…
…1011010110111101010010
31120212201121010112200121100
42300032201123112331102
53041403213101023442
641431205255005230
72356635366004551
oct260164133267522
946781533480540
1012110221111122
113949a09116a82
121437060669816
1369acb1955b74
142dc1d02bbd98
1516003464284c
hexb03a16d6f52

12110221111122 has 48 divisors (see below), whose sum is σ = 27169183318680. Its totient is φ = 3893868787200.

The previous prime is 12110221111069. The next prime is 12110221111147. The reversal of 12110221111122 is 22111112201121.

It is a happy number.

12110221111122 is a `hidden beast` number, since 1 + 211 + 0 + 221 + 111 + 122 = 666.

12110221111122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9081128007081 + 3029093104041 = 3013491^2 + 1740429^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12110221111095 and 12110221111104.

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, 10379079 + ... + 11486762.

Almost surely, 212110221111122 is an apocalyptic number.

12110221111122 is an abundant number, since it is smaller than the sum of its proper divisors (15058962207558).

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

12110221111122 is a wasteful number, since it uses less digits than its factorization.

12110221111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21866939 (or 21866936 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 12110221111122 its reverse (22111112201121), we get a palindrome (34221333312243).

The spelling of 12110221111122 in words is "twelve trillion, one hundred ten billion, two hundred twenty-one million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 1061 2122 3183 6366 9549 19098 30769 61538 92307 184614 276921 553842 21865841 43731682 65597523 131195046 196792569 393585138 634109389 1268218778 1902328167 3804656334 5706984501 11413969002 23199657301 46399314602 69598971903 139197943806 208796915709 417593831418 672790061729 1345580123458 2018370185187 4036740370374 6055110555561 12110221111122