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12221221201120 = 2551928387141619
BaseRepresentation
bin1011000111010111100110…
…0011000110010011100000
31121021100002220210111112201
42301311321203012103200
53100213030111413440
641554203532102544
72400645153132361
oct261657143062340
947240086714481
1012221221201120
113991a99841548
12145467a304a54
136a85c13c1ba9
14303720233b68
15162d7e43819a
hexb1d798c64e0

12221221201120 has 96 divisors (see below), whose sum is σ = 30393532713600. Its totient is φ = 4631003767296.

The previous prime is 12221221201103. The next prime is 12221221201127. The reversal of 12221221201120 is 2110212212221.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221221201127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86225671 + ... + 86367289.

It is an arithmetic number, because the mean of its divisors is an integer number (316599299100).

Almost surely, 212221221201120 is an apocalyptic number.

12221221201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221221201120 is an abundant number, since it is smaller than the sum of its proper divisors (18172311512480).

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

12221221201120 is a wasteful number, since it uses less digits than its factorization.

12221221201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170040 (or 170032 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12221221201120 its reverse (2110212212221), we get a palindrome (14331433413341).

It can be divided in two parts, 1222122 and 1201120, that added together give a palindrome (2423242).

The spelling of 12221221201120 in words is "twelve trillion, two hundred twenty-one billion, two hundred twenty-one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 28387 56774 113548 141619 141935 227096 283238 283870 454192 539353 566476 567740 708095 908384 1078706 1132952 1135480 1416190 2157412 2265904 2270960 2690761 2696765 2832380 4314824 4531808 4541920 5381522 5393530 5664760 8629648 10763044 10787060 11329520 13453805 17259296 21526088 21574120 22659040 26907610 43052176 43148240 53815220 86104352 86296480 107630440 215260880 430521760 4020138553 8040277106 16080554212 20100692765 32161108424 40201385530 64322216848 76382632507 80402771060 128644433696 152765265014 160805542120 305530530028 321611084240 381913162535 611061060056 643222168480 763826325070 1222122120112 1527652650140 2444244240224 3055305300280 6110610600560 12221221201120