Search a number
-
+
12012303000321 = 341329297389381
BaseRepresentation
bin1010111011001101010100…
…0011011010001100000001
31120112100212001100021110000
42232303111003122030001
53033302144032002241
641314213102030213
72346601031543061
oct256632503321401
946470761307400
1012012303000321
11391143097a068
121420093b78369
136919a8562a30
142d75819513a1
1515c703093eb6
hexaecd50da301

12012303000321 has 40 divisors (see below), whose sum is σ = 19325344838184. Its totient is φ = 7391915159040.

The previous prime is 12012303000289. The next prime is 12012303000323. The reversal of 12012303000321 is 12300030321021.

12012303000321 is a `hidden beast` number, since 1 + 2 + 0 + 12 + 30 + 300 + 0 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14808212721 + 11997494787600 = 121689^2 + 3463740^2 .

It is not a de Polignac number, because 12012303000321 - 25 = 12012303000289 is a prime.

It is a super-2 number, since 2×120123030003212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12012303000294 and 12012303000303.

It is not an unprimeable number, because it can be changed into a prime (12012303000323) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30655051 + ... + 31044431.

Almost surely, 212012303000321 is an apocalyptic number.

It is an amenable number.

12012303000321 is a deficient number, since it is larger than the sum of its proper divisors (7313041837863).

12012303000321 is a wasteful number, since it uses less digits than its factorization.

12012303000321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418703 (or 418694 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12012303000321 its reverse (12300030321021), we get a palindrome (24312333321342).

The spelling of 12012303000321 in words is "twelve trillion, twelve billion, three hundred three million, three hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 9 13 27 39 81 117 351 1053 29297 87891 263673 380861 389381 791019 1142583 1168143 2373057 3427749 3504429 5061953 10283247 10513287 15185859 30849741 31539861 45557577 136672731 410018193 11407695157 34223085471 102669256413 148300037041 308007769239 444900111123 924023307717 1334700333369 4004101000107 12012303000321