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12231121121130 = 2353153928126737
BaseRepresentation
bin1011000111111100011110…
…1000010010111101101010
31121022021122212020112201210
42301333013220102331222
53100343314001334010
642002522141453550
72401445404100052
oct261770750227552
947267585215653
1012231121121130
11399620a00aa1a
1214565818712b6
136a950b43b322
14303dbcd84562
1516325d627b20
hexb1fc7a12f6a

12231121121130 has 128 divisors (see below), whose sum is σ = 30877826144256. Its totient is φ = 3096413798400.

The previous prime is 12231121121123. The next prime is 12231121121137. The reversal of 12231121121130 is 3112112113221.

It is an interprime number because it is at equal distance from previous prime (12231121121123) and next prime (12231121121137).

It is a junction number, because it is equal to n+sod(n) for n = 12231121121097 and 12231121121106.

It is not an unprimeable number, because it can be changed into a prime (12231121121137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 457447122 + ... + 457473858.

It is an arithmetic number, because the mean of its divisors is an integer number (241233016752).

Almost surely, 212231121121130 is an apocalyptic number.

12231121121130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12231121121130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15438913072128).

12231121121130 is an abundant number, since it is smaller than the sum of its proper divisors (18646705023126).

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

12231121121130 is a wasteful number, since it uses less digits than its factorization.

12231121121130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36112.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 12231121121130 its reverse (3112112113221), we get a palindrome (15343233234351).

The spelling of 12231121121130 in words is "twelve trillion, two hundred thirty-one billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 53 62 93 106 155 159 186 265 310 318 465 530 795 930 1590 1643 3286 4929 8215 9281 9858 16430 18562 24645 26737 27843 46405 49290 53474 55686 80211 92810 133685 139215 160422 267370 278430 287711 401055 491893 575422 802110 828847 863133 983786 1417061 1438555 1475679 1657694 1726266 2459465 2486541 2834122 2877110 2951358 4144235 4251183 4315665 4918930 4973082 7085305 7378395 8288470 8502366 8631330 12432705 14170610 14756790 15248683 21255915 24865410 30497366 42511830 43928891 45746049 76243415 87857782 91492098 131786673 152486830 219644455 228730245 248146097 263573346 439288910 457460490 496292194 658933365 744438291 1240730485 1317866730 1488876582 2481460970 3722191455 7444382910 7692529007 13151743141 15385058014 23077587021 26303486282 38462645035 39455229423 46155174042 65758715705 76925290070 78910458846 115387935105 131517431410 197276147115 230775870210 394552294230 407704037371 815408074742 1223112112113 2038520186855 2446224224226 4077040373710 6115560560565 12231121121130