Search a number
-
+
12012112330033 = 41363780554949
BaseRepresentation
bin1010111011001100100110…
…1100000011110100110001
31120112100100202120012222111
42232303021230003310301
53033301301224030113
641314142131205321
72346563225064034
oct256631154036461
946470322505874
1012012112330033
113911343289712
121420040146841
13691977bc418a
142d75644bb01b
1515c6e147e13d
hexaecc9b03d31

12012112330033 has 8 divisors (see below), whose sum is σ = 12308474140200. Its totient is φ = 11715911637120.

The previous prime is 12012112330021. The next prime is 12012112330079. The reversal of 12012112330033 is 33003321121021.

12012112330033 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 1928007229729 + 10084105100304 = 1388527^2 + 3175548^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12012112330033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12012112329986 and 12012112330013.

It is not an unprimeable number, because it can be changed into a prime (12012112330433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40128358 + ... + 40426591.

It is an arithmetic number, because the mean of its divisors is an integer number (1538559267525).

Almost surely, 212012112330033 is an apocalyptic number.

It is an amenable number.

12012112330033 is a deficient number, since it is larger than the sum of its proper divisors (296361810167).

12012112330033 is an equidigital number, since it uses as much as digits as its factorization.

12012112330033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80558627.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12012112330033 its reverse (33003321121021), we get a palindrome (45015433451054).

The spelling of 12012112330033 in words is "twelve trillion, twelve billion, one hundred twelve million, three hundred thirty thousand, thirty-three".

Divisors: 1 41 3637 149117 80554949 3302752909 292978349513 12012112330033