Search a number
-
+
12132312132122 = 272139523007953
BaseRepresentation
bin1011000010001100011000…
…1001111010101000011010
31120221211121200200211102022
42300203012021322220122
53042233433401211442
641445301322134442
72361350001410600
oct260430611725032
946854550624368
1012132312132122
113958314a01026
12143b3a6951422
136a00c25c6720
142dd2c8193870
151608c8c503d2
hexb08c627aa1a

12132312132122 has 24 divisors (see below), whose sum is σ = 22798081041876. Its totient is φ = 4799596007808.

The previous prime is 12132312132089. The next prime is 12132312132191. The reversal of 12132312132122 is 22123121323121.

It can be written as a sum of positive squares in 2 ways, for example, as 11595856962361 + 536455169761 = 3405269^2 + 732431^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 12132312132091 and 12132312132100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4761502703 + ... + 4761505250.

Almost surely, 212132312132122 is an apocalyptic number.

12132312132122 is a deficient number, since it is larger than the sum of its proper divisors (10665768909754).

12132312132122 is a wasteful number, since it uses less digits than its factorization.

12132312132122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9523007982 (or 9523007975 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

Adding to 12132312132122 its reverse (22123121323121), we get a palindrome (34255433455243).

The spelling of 12132312132122 in words is "twelve trillion, one hundred thirty-two billion, three hundred twelve million, one hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 7 13 14 26 49 91 98 182 637 1274 9523007953 19046015906 66661055671 123799103389 133322111342 247598206778 466627389697 866593723723 933254779394 1733187447446 6066156066061 12132312132122