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12002212111120 = 2457111948411057
BaseRepresentation
bin1010111010100111101110…
…0101101110001100010000
31120111101210210112222202221
42232221323211232030100
53033121012300023440
641305423511150424
72346063001443040
oct256517345561420
946441723488687
1012002212111120
113908122926710
12141a138675414
13690a5aaa198a
142d6ca56cd720
1515c312230d4a
hexaea7b96e310

12002212111120 has 80 divisors (see below), whose sum is σ = 34790827851648. Its totient is φ = 3740949227520.

The previous prime is 12002212110991. The next prime is 12002212111121. The reversal of 12002212111120 is 2111121220021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12002212111094 and 12002212111103.

It is not an unprimeable number, because it can be changed into a prime (12002212111121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 974199369 + ... + 974211688.

Almost surely, 212002212111120 is an apocalyptic number.

12002212111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002212111120 is an abundant number, since it is smaller than the sum of its proper divisors (22788615740528).

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

12002212111120 is a wasteful number, since it uses less digits than its factorization.

12002212111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948411088 (or 1948411082 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12002212111120 its reverse (2111121220021), we get a palindrome (14113333331141).

The spelling of 12002212111120 in words is "twelve trillion, two billion, two hundred twelve million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 1948411057 3896822114 7793644228 9742055285 13638877399 15587288456 19484110570 21432521627 27277754798 31174576912 38968221140 42865043254 54555509596 68194386995 77936442280 85730086508 107162608135 109111019192 136388773990 150027651389 155872884560 171460173016 214325216270 218222038384 272777547980 300055302778 342920346032 428650432540 545555095960 600110605556 750138256945 857300865080 1091110191920 1200221211112 1500276513890 1714601730160 2400442422224 3000553027780 6001106055560 12002212111120