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121221121320 = 23335138633983
BaseRepresentation
bin111000011100101010…
…1111000010100101000
3102120220002221000001000
41300321111320110220
53441230101340240
6131404353155000
711520654346605
oct1607125702450
9376802830030
10121221121320
11474561876a2
121b5b085ba60
13b57b195470
145c1d5b36ac
1532472b4430
hex1c39578528

121221121320 has 128 divisors (see below), whose sum is σ = 435152793600. Its totient is φ = 29839041792.

The previous prime is 121221121309. The next prime is 121221121337. The reversal of 121221121320 is 23121122121.

121221121320 is a `hidden beast` number, since 1 + 2 + 1 + 221 + 121 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121221121293 and 121221121302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4302952 + ... + 4331031.

It is an arithmetic number, because the mean of its divisors is an integer number (3399631200).

Almost surely, 2121221121320 is an apocalyptic number.

121221121320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121221121320 is an abundant number, since it is smaller than the sum of its proper divisors (313931672280).

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

121221121320 is a wasteful number, since it uses less digits than its factorization.

121221121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8634016 (or 8634006 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121221121320 its reverse (23121122121), we get a palindrome (144342243441).

The spelling of 121221121320 in words is "one hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 8633983 17267966 25901949 34535932 43169915 51803898 69071864 77705847 86339830 103607796 112241779 129509745 155411694 172679660 207215592 224483558 233117541 259019490 310823388 336725337 345359320 388529235 448967116 466235082 518038980 561208895 621646776 673450674 777058470 897934232 932470164 1010176011 1036077960 1122417790 1165587705 1346901348 1554116940 1683626685 1864940328 2020352022 2244835580 2331175410 2693802696 3030528033 3108233880 3367253370 4040704044 4489671160 4662350820 5050880055 6061056066 6734506740 8081408088 9324701640 10101760110 12122112132 13469013480 15152640165 20203520220 24244224264 30305280330 40407040440 60610560660 121221121320