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12022001321100 = 22352177193278519
BaseRepresentation
bin1010111011110001011100…
…0111100100010010001100
31120120021212221110000110220
42232330113013210102030
53033432024314233400
641322455310431340
72350363254112551
oct256742707442214
946507787400426
1012022001321100
113915558373001
121421b3bb02550
136928928b4c94
142d7c219c4a28
1515cabe7107a0
hexaef171e448c

12022001321100 has 144 divisors (see below), whose sum is σ = 36880989465600. Its totient is φ = 3013089182720.

The previous prime is 12022001321093. The next prime is 12022001321101. The reversal of 12022001321100 is 112310022021.

12022001321100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12022001321100.

It is not an unprimeable number, because it can be changed into a prime (12022001321101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2027641 + ... + 5306159.

It is an arithmetic number, because the mean of its divisors is an integer number (256117982400).

Almost surely, 212022001321100 is an apocalyptic number.

12022001321100 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 12022001321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18440494732800).

12022001321100 is an abundant number, since it is smaller than the sum of its proper divisors (24858988144500).

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

12022001321100 is a wasteful number, since it uses less digits than its factorization.

12022001321100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3279272 (or 3279265 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12022001321100 its reverse (112310022021), we get a palindrome (12134311343121).

The spelling of 12022001321100 in words is "twelve trillion, twenty-two billion, one million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 719 850 1020 1275 1438 1700 2157 2550 2876 3595 4314 5100 7190 8628 10785 12223 14380 17975 21570 24446 35950 36669 43140 48892 53925 61115 71900 73338 107850 122230 146676 183345 215700 244460 305575 366690 611150 733380 916725 1222300 1833450 3278519 3666900 6557038 9835557 13114076 16392595 19671114 32785190 39342228 49177785 55734823 65570380 81962975 98355570 111469646 163925950 167204469 196711140 222939292 245888925 278674115 327851900 334408938 491777850 557348230 668817876 836022345 983555700 1114696460 1393370575 1672044690 2357255161 2786741150 3344089380 4180111725 4714510322 5573482300 7071765483 8360223450 9429020644 11786275805 14143530966 16720446900 23572551610 28287061932 35358827415 40073337737 47145103220 58931379025 70717654830 80146675474 117862758050 120220013211 141435309660 160293350948 176794137075 200366688685 235725516100 240440026422 353588274150 400733377370 480880052844 601100066055 707176548300 801466754740 1001833443425 1202200132110 2003666886850 2404400264220 3005500330275 4007333773700 6011000660550 12022001321100