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12225282481020 = 22357113257591287
BaseRepresentation
bin1011000111100110101110…
…0111101001101101111100
31121021201120221210220012210
42301321223213221231330
53100244334303343040
642000114531300420
72401150616343510
oct261715347515574
947251527726183
1012225282481020
113993793280214
12145541244a710
136a8aba91acab
143039c777a140
1516301ac65480
hexb1e6b9e9b7c

12225282481020 has 96 divisors (see below), whose sum is σ = 39467106782208. Its totient is φ = 2769621507072.

The previous prime is 12225282480989. The next prime is 12225282481037. The reversal of 12225282481020 is 2018428252221.

It is a super-3 number, since 3×122252824810203 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12225282481020.

It is a congruent number.

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, 128748184 + ... + 128843103.

It is an arithmetic number, because the mean of its divisors is an integer number (411115695648).

Almost surely, 212225282481020 is an apocalyptic number.

12225282481020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12225282481020 is an abundant number, since it is smaller than the sum of its proper divisors (27241824301188).

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

12225282481020 is a wasteful number, since it uses less digits than its factorization.

12225282481020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257591419 (or 257591417 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The spelling of 12225282481020 in words is "twelve trillion, two hundred twenty-five billion, two hundred eighty-two million, four hundred eighty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 113 140 210 226 339 420 452 565 678 791 1130 1356 1582 1695 2260 2373 3164 3390 3955 4746 6780 7910 9492 11865 15820 23730 47460 257591287 515182574 772773861 1030365148 1287956435 1545547722 1803139009 2575912870 3091095444 3606278018 3863869305 5151825740 5409417027 7212556036 7727738610 9015695045 10818834054 15455477220 18031390090 21637668108 27047085135 29107815431 36062780180 54094170270 58215630862 87323446293 108188340540 116431261724 145539077155 174646892586 203754708017 291078154310 349293785172 407509416034 436617231465 582156308620 611264124051 815018832068 873234462930 1018773540085 1222528248102 1746468925860 2037547080170 2445056496204 3056320620255 4075094160340 6112641240510 12225282481020