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12032312001220 = 2257241535650193
BaseRepresentation
bin1010111100010111110110…
…1011101100001011000100
31120121021111111210211121101
42233011331223230023010
53034114133333014340
641331322352225444
72351206623335500
oct257057553541304
946537444724541
1012032312001220
113919969496645
121423b38b3b284
13693846a6c534
142d851d0db300
1515cec49dbc9a
hexaf17daec2c4

12032312001220 has 144 divisors (see below), whose sum is σ = 30678248140848. Its totient is φ = 3948806184960.

The previous prime is 12032312001217. The next prime is 12032312001287. The reversal of 12032312001220 is 2210021323021.

It can be written as a sum of positive squares in 8 ways, for example, as 271349311744 + 11760962689476 = 520912^2 + 3429426^2 .

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, 695557 + ... + 4954636.

It is an arithmetic number, because the mean of its divisors is an integer number (213043389867).

Almost surely, 212032312001220 is an apocalyptic number.

12032312001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032312001220 is an abundant number, since it is smaller than the sum of its proper divisors (18645936139628).

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

12032312001220 is a wasteful number, since it uses less digits than its factorization.

12032312001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5650310 (or 5650301 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12032312001220 its reverse (2210021323021), we get a palindrome (14242333324241).

The spelling of 12032312001220 in words is "twelve trillion, thirty-two billion, three hundred twelve million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 49 53 70 82 98 106 140 164 196 205 212 245 265 287 371 410 490 530 574 742 820 980 1060 1148 1435 1484 1855 2009 2173 2597 2870 3710 4018 4346 5194 5740 7420 8036 8692 10045 10388 10865 12985 15211 20090 21730 25970 30422 40180 43460 51940 60844 76055 106477 152110 212954 304220 425908 532385 1064770 2129540 5650193 11300386 22600772 28250965 39551351 56501930 79102702 113003860 158205404 197756755 231657913 276859457 299460229 395513510 463315826 553718914 598920458 791027020 926631652 1107437828 1158289565 1197840916 1384297285 1497301145 1621605391 2096221603 2316579130 2768594570 2994602290 3243210782 4192443206 4633158260 5537189140 5989204580 6486421564 8108026955 8384886412 10481108015 11351237737 12277869389 14673551221 16216053910 20962216030 22702475474 24555738778 29347102442 32432107820 41924432060 45404950948 49111477556 56756188685 58694204884 61389346945 73367756105 85945085723 113512377370 122778693890 146735512210 171890171446 227024754740 245557387780 293471024420 343780342892 429725428615 601615600061 859450857230 1203231200122 1718901714460 2406462400244 3008078000305 6016156000610 12032312001220