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220121003212320 = 2535729358886191
BaseRepresentation
bin110010000011001011101010…
…001101000011111000100000
31001212101100210011222122022110
4302003023222031003320200
5212322430303310243240
62100054105354235320
764236134442562200
oct6203135215037040
91055340704878273
10220121003212320
116415687a8527a1
1220830b12725b40
1395a9424550322
143c4dcb0530400
151a6acbbee3c80
hexc832ea343e20

220121003212320 has 144 divisors (see below), whose sum is σ = 806586247571328. Its totient is φ = 50313372157440.

The previous prime is 220121003212249. The next prime is 220121003212321. The reversal of 220121003212320 is 23212300121022.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (220121003212321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4679419576 + ... + 4679466615.

It is an arithmetic number, because the mean of its divisors is an integer number (5601293385912).

Almost surely, 2220121003212320 is an apocalyptic number.

220121003212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220121003212320 is an abundant number, since it is smaller than the sum of its proper divisors (586465244359008).

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

220121003212320 is a wasteful number, since it uses less digits than its factorization.

220121003212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9358886223 (or 9358886208 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 220121003212320 its reverse (23212300121022), we get a palindrome (243333303333342).

The spelling of 220121003212320 in words is "two hundred twenty trillion, one hundred twenty-one billion, three million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2352 2940 3360 3920 4704 5880 7840 11760 23520 9358886191 18717772382 28076658573 37435544764 46794430955 56153317146 65512203337 74871089528 93588861910 112306634292 131024406674 140383292865 149742179056 187177723820 196536610011 224613268584 262048813348 280766585730 299484358112 327561016685 374355447640 393073220022 449226537168 458585423359 524097626696 561533171460 655122033370 748710895280 786146440044 898453074336 917170846718 982683050055 1048195253392 1123066342920 1310244066740 1375756270077 1497421790560 1572292880088 1834341693436 1965366100110 2096390506784 2246132685840 2292927116795 2620488133480 2751512540154 3144585760176 3668683386872 3930732200220 4492265371680 4585854233590 5240976266960 5503025080308 6289171520352 6878781350385 7337366773744 7861464400440 9171708467180 10481952533920 11006050160616 13757562700770 14674733547488 15722928800880 18343416934360 22012100321232 27515125401540 31445857601760 36686833868720 44024200642464 55030250803080 73373667737440 110060501606160 220121003212320