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14201222120 = 2352359614289
BaseRepresentation
bin11010011100111010…
…10111001111101000
31100122201002211102122
431032131113033220
5213041003101440
610305101250412
71011630252641
oct151635271750
940581084378
1014201222120
116028246408
122903b63a08
131454203517
1498a0d66c8
15581b2e7b5
hex34e7573e8

14201222120 has 128 divisors (see below), whose sum is σ = 34471008000. Its totient is φ = 5252628480.

The previous prime is 14201222027. The next prime is 14201222131. The reversal of 14201222120 is 2122210241.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3308936 + ... + 3313224.

It is an arithmetic number, because the mean of its divisors is an integer number (269304750).

Almost surely, 214201222120 is an apocalyptic number.

14201222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14201222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17235504000).

14201222120 is an abundant number, since it is smaller than the sum of its proper divisors (20269785880).

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

14201222120 is a wasteful number, since it uses less digits than its factorization.

14201222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4443 (or 4439 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 14201222120 its reverse (2122210241), we get a palindrome (16323432361).

The spelling of 14201222120 in words is "fourteen billion, two hundred one million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 59 61 92 115 118 122 184 230 236 244 295 305 460 472 488 590 610 920 1180 1220 1357 1403 2360 2440 2714 2806 3599 4289 5428 5612 6785 7015 7198 8578 10856 11224 13570 14030 14396 17156 17995 21445 27140 28060 28792 34312 35990 42890 54280 56120 71980 82777 85780 98647 143960 165554 171560 197294 253051 261629 331108 394588 413885 493235 506102 523258 662216 789176 827770 986470 1012204 1046516 1265255 1308145 1655540 1972940 2024408 2093032 2530510 2616290 3311080 3945880 5061020 5232580 5820173 6017467 10122040 10465160 11640346 12034934 15436111 23280692 24069868 29100865 30087335 30872222 46561384 48139736 58201730 60174670 61744444 77180555 116403460 120349340 123488888 154361110 232806920 240698680 308722220 355030553 617444440 710061106 1420122212 1775152765 2840244424 3550305530 7100611060 14201222120