Search a number
-
+
12020211111321 = 35727126075851
BaseRepresentation
bin1010111011101010110001…
…1010011101010110011001
31120120010021011211221100000
42232322230122131112121
53033414343021030241
641322001520203213
72350301015432220
oct256725432352631
946503234757300
1012020211111321
113914819895996
121421720469509
13692668a4215a
142d7ad1d39cb7
1515ca1748ceb6
hexaeeac69d599

12020211111321 has 48 divisors (see below), whose sum is σ = 20653743638528. Its totient is φ = 6843346074000.

The previous prime is 12020211111313. The next prime is 12020211111347. The reversal of 12020211111321 is 12311111202021.

It is a happy number.

12020211111321 is a `hidden beast` number, since 1 + 2 + 0 + 20 + 211 + 111 + 321 = 666.

It is not a de Polignac number, because 12020211111321 - 23 = 12020211111313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12020211111294 and 12020211111303.

It is not an unprimeable number, because it can be changed into a prime (12020211111371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12576955 + ... + 13498896.

Almost surely, 212020211111321 is an apocalyptic number.

It is an amenable number.

12020211111321 is a deficient number, since it is larger than the sum of its proper divisors (8633532527207).

12020211111321 is an equidigital number, since it uses as much as digits as its factorization.

12020211111321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26076144 (or 26076132 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 12020211111321 its reverse (12311111202021), we get a palindrome (24331322313342).

The spelling of 12020211111321 in words is "twelve trillion, twenty billion, two hundred eleven million, one hundred eleven thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 81 189 243 271 567 813 1701 1897 2439 5691 7317 17073 21951 51219 65853 153657 460971 26075851 78227553 182530957 234682659 547592871 704047977 1642778613 2112143931 4928335839 6336431793 7066555621 14785007517 21199666863 44355022551 49465889347 63599000589 148397668041 190797001767 445193004123 572391005301 1335579012369 1717173015903 4006737037107 12020211111321