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12001120201120 = 255149503402693
BaseRepresentation
bin1010111010100011101010…
…0000011010100110100000
31120111021222200221012211211
42232220322200122212200
53033111243232413440
641305123303515504
72346023642403001
oct256507240324640
946437880835754
1012001120201120
113907712537556
121419a92a58b94
136909157c439b
142d6c006991a8
1515c29b446eea
hexaea3a81a9a0

12001120201120 has 48 divisors (see below), whose sum is σ = 28542932749800. Its totient is φ = 4768230298624.

The previous prime is 12001120201097. The next prime is 12001120201121. The reversal of 12001120201120 is 2110202110021.

It can be written as a sum of positive squares in 4 ways, for example, as 7331942555536 + 4669177645584 = 2707756^2 + 2160828^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12001120201120.

It is not an unprimeable number, because it can be changed into a prime (12001120201121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251677507 + ... + 251725186.

Almost surely, 212001120201120 is an apocalyptic number.

12001120201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001120201120 is an abundant number, since it is smaller than the sum of its proper divisors (16541812548680).

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

12001120201120 is a wasteful number, since it uses less digits than its factorization.

12001120201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503402857 (or 503402849 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12001120201120 its reverse (2110202110021), we get a palindrome (14111322311141).

The spelling of 12001120201120 in words is "twelve trillion, one billion, one hundred twenty million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 149 160 298 596 745 1192 1490 2384 2980 4768 5960 11920 23840 503402693 1006805386 2013610772 2517013465 4027221544 5034026930 8054443088 10068053860 16108886176 20136107720 40272215440 75007001257 80544430880 150014002514 300028005028 375035006285 600056010056 750070012570 1200112020112 1500140025140 2400224040224 3000280050280 6000560100560 12001120201120