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11211210000120 = 23351329247816313
BaseRepresentation
bin1010001100100101000000…
…1100001000011011111000
31110200210002111112101001110
42203021100030020123320
52432141024230000440
635502205254520320
72234661143440404
oct243112014103370
943623074471043
1011211210000120
113632713851119
1213109836660a0
1363429c0167a0
142aa8a8390104
15146968d50080
hexa32503086f8

11211210000120 has 128 divisors (see below), whose sum is σ = 37469826676800. Its totient is φ = 2664520986624.

The previous prime is 11211210000103. The next prime is 11211210000209. The reversal of 11211210000120 is 2100001211211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11211210000096 and 11211210000105.

It is a congruent number.

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, 123862917 + ... + 123953396.

Almost surely, 211211210000120 is an apocalyptic number.

11211210000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211210000120 is an abundant number, since it is smaller than the sum of its proper divisors (26258616676680).

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

11211210000120 is a wasteful number, since it uses less digits than its factorization.

11211210000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247816369 (or 247816365 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11211210000120 its reverse (2100001211211), we get a palindrome (13311211211331).

The spelling of 11211210000120 in words is "eleven trillion, two hundred eleven billion, two hundred ten million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 29 30 39 40 52 58 60 65 78 87 104 116 120 130 145 156 174 195 232 260 290 312 348 377 390 435 520 580 696 754 780 870 1131 1160 1508 1560 1740 1885 2262 3016 3480 3770 4524 5655 7540 9048 11310 15080 22620 45240 247816313 495632626 743448939 991265252 1239081565 1486897878 1982530504 2478163130 2973795756 3221612069 3717244695 4956326260 5947591512 6443224138 7186673077 7434489390 9664836207 9912652520 12886448276 14373346154 14868978780 16108060345 19329672414 21560019231 25772896552 28746692308 29737957560 32216120690 35933365385 38659344828 43120038462 48324181035 57493384616 64432241380 71866730770 77318689656 86240076924 93426750001 96648362070 107800096155 128864482760 143733461540 172480153848 186853500002 193296724140 215600192310 280280250003 287466923080 373707000004 386593448280 431200384620 467133750005 560560500006 747414000008 862400769240 934267500010 1121121000012 1401401250015 1868535000020 2242242000024 2802802500030 3737070000040 5605605000060 11211210000120