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12030321131322 = 2313261383507821
BaseRepresentation
bin1010111100010000011100…
…0001000111111100111010
31120121002100202122011112020
42233010013001013330322
53034101044202200242
641330353033055310
72351106400251204
oct257040701077472
946532322564466
1012030321131322
11391903771561a
121423682257536
136935ba470b00
142d83b093b774
1515ce09d2e6ec
hexaf107047f3a

12030321131322 has 96 divisors (see below), whose sum is σ = 26550136682496. Its totient is φ = 3631441132800.

The previous prime is 12030321131299. The next prime is 12030321131363. The reversal of 12030321131322 is 22313112303021.

12030321131322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12030321131292 and 12030321131301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23436172 + ... + 23943992.

It is an arithmetic number, because the mean of its divisors is an integer number (276563923776).

Almost surely, 212030321131322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12030321131322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13275068341248).

12030321131322 is an abundant number, since it is smaller than the sum of its proper divisors (14519815551174).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12030321131322 is a wasteful number, since it uses less digits than its factorization.

12030321131322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508296 (or 508283 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12030321131322 its reverse (22313112303021), we get a palindrome (34343433434343).

The spelling of 12030321131322 in words is "twelve trillion, thirty billion, three hundred twenty-one million, one hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 61 78 122 169 183 338 366 383 507 766 793 1014 1149 1586 2298 2379 4758 4979 9958 10309 14937 20618 23363 29874 30927 46726 61854 64727 70089 129454 140178 194181 303719 388362 507821 607438 911157 1015642 1523463 1822314 3046926 3948347 6601673 7896694 11845041 13203346 19805019 23690082 30977081 39610038 61954162 85821749 92931243 171643498 185862486 194495443 257465247 388990886 402702053 514930494 583486329 805404106 1166972658 1208106159 2416212318 2528440759 5056881518 5235126689 7585322277 10470253378 11864222023 15170644554 15705380067 23728444046 31410760134 32869729867 35592666069 65739459734 71185332138 98609189601 154234886299 197218379202 308469772598 462704658897 925409317794 2005053521887 4010107043774 6015160565661 12030321131322