Search a number
-
+
12008636217201 = 313307913749159
BaseRepresentation
bin1010111010111111101001…
…1111101111011101110001
31120112000101111122101121210
42232233322133233131301
53033222141332422301
641312405154110333
72346411125443221
oct256577237573561
946460344571553
1012008636217201
11390a91a097698
12141b42bb7b3a9
1369154299c390
142d731497a081
1515c58b1dead6
hexaebfa7ef771

12008636217201 has 8 divisors (see below), whose sum is σ = 17243169952960. Its totient is φ = 7389929979792.

The previous prime is 12008636217187. The next prime is 12008636217239. The reversal of 12008636217201 is 10271263680021.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12008636217201 - 25 = 12008636217169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 307913749159 = 12008636217201 / (1 + 2 + 0 + 0 + 8 + 6 + 3 + 6 + 2 + 1 + 7 + 2 + 0 + 1).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12008636217201.

It is not an unprimeable number, because it can be changed into a prime (12008636217001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153956874541 + ... + 153956874618.

It is an arithmetic number, because the mean of its divisors is an integer number (2155396244120).

Almost surely, 212008636217201 is an apocalyptic number.

It is an amenable number.

12008636217201 is a deficient number, since it is larger than the sum of its proper divisors (5234533735759).

12008636217201 is a wasteful number, since it uses less digits than its factorization.

12008636217201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307913749175.

The product of its (nonzero) digits is 48384, while the sum is 39.

Adding to 12008636217201 its reverse (10271263680021), we get a palindrome (22279899897222).

The spelling of 12008636217201 in words is "twelve trillion, eight billion, six hundred thirty-six million, two hundred seventeen thousand, two hundred one".

Divisors: 1 3 13 39 307913749159 923741247477 4002878739067 12008636217201