Search a number
-
+
12001122201001 = 198374310242391
BaseRepresentation
bin1010111010100011101010…
…1000000010110110101001
31120111021222211200211011111
42232220322220002312221
53033111244240413001
641305123414430321
72346023665402363
oct256507250026651
946437884624144
1012001122201001
11390771368304a
121419a936623a1
1369091604474b
142d6c00a59d33
1515c29b6de851
hexaea3aa02da9

12001122201001 has 16 divisors (see below), whose sum is σ = 12802170608640. Its totient is φ = 11217383588880.

The previous prime is 12001122200999. The next prime is 12001122201011. The reversal of 12001122201001 is 10010222110021.

It is a cyclic number.

It is not a de Polignac number, because 12001122201001 - 21 = 12001122200999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12001122201011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3949485 + ... + 6292906.

It is an arithmetic number, because the mean of its divisors is an integer number (800135663040).

Almost surely, 212001122201001 is an apocalyptic number.

It is an amenable number.

12001122201001 is a deficient number, since it is larger than the sum of its proper divisors (801048407639).

12001122201001 is a wasteful number, since it uses less digits than its factorization.

12001122201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10243236.

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

Adding to 12001122201001 its reverse (10010222110021), we get a palindrome (22011344311022).

The spelling of 12001122201001 in words is "twelve trillion, one billion, one hundred twenty-two million, two hundred one thousand, one".

Divisors: 1 19 83 743 1577 14117 61669 1171711 10242391 194605429 850118453 7610096513 16152250607 144591833747 631638010579 12001122201001