Search a number
-
+
12012001010001 = 321334666778889
BaseRepresentation
bin1010111011001100001100…
…0011011010000101010001
31120112100002000002120121100
42232303003003122011101
53033301034224310001
641314123113215013
72346560403633606
oct256630303320521
946470060076540
1012012001010001
113911296466293
12142000aa01469
1369195ab19035
142d75537c06ad
1515c6d67e0586
hexaecc30da151

12012001010001 has 6 divisors (see below), whose sum is σ = 17350668125570. Its totient is φ = 8008000673328.

The previous prime is 12012001009913. The next prime is 12012001010011. The reversal of 12012001010001 is 10001010021021.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 12005289468225 + 6711541776 = 3464865^2 + 81924^2 .

It is not a de Polignac number, because 12012001010001 - 235 = 11977641271633 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1334666778889 = 12012001010001 / (1 + 2 + 0 + 1 + 2 + 0 + 0 + 1 + 0 + 1 + 0 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12012001010011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 667333389436 + ... + 667333389453.

Almost surely, 212012001010001 is an apocalyptic number.

It is an amenable number.

12012001010001 is a deficient number, since it is larger than the sum of its proper divisors (5338667115569).

12012001010001 is a wasteful number, since it uses less digits than its factorization.

12012001010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334666778895 (or 1334666778892 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12012001010001 its reverse (10001010021021), we get a palindrome (22013011031022).

The spelling of 12012001010001 in words is "twelve trillion, twelve billion, one million, ten thousand, one".

Divisors: 1 3 9 1334666778889 4004000336667 12012001010001