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12011141424420 = 22325373178896953
BaseRepresentation
bin1010111011001000111111…
…0100010110010100100100
31120112020212002122002212100
42232302033310112110210
53033242304201040140
641313501525252100
72346530165400315
oct256621764262444
946466762562770
1012011141424420
113910995227986
12141ba0ab64030
13691851a02a08
142d74b158460c
1515c6860e8530
hexaec8fd16524

12011141424420 has 72 divisors (see below), whose sum is σ = 36531473594616. Its totient is φ = 3194383974912.

The previous prime is 12011141424407. The next prime is 12011141424427. The reversal of 12011141424420 is 2442414111021.

12011141424420 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 1 + 1 + 414 + 244 + 2 + 0 = 666.

12011141424420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4907722454244 + 7103418970176 = 2215338^2 + 2665224^2 .

It is not an unprimeable number, because it can be changed into a prime (12011141424427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89381337 + ... + 89515616.

It is an arithmetic number, because the mean of its divisors is an integer number (507381577703).

Almost surely, 212011141424420 is an apocalyptic number.

12011141424420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011141424420 is an abundant number, since it is smaller than the sum of its proper divisors (24520332170196).

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

12011141424420 is a wasteful number, since it uses less digits than its factorization.

12011141424420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178897341 (or 178897336 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 12011141424420 its reverse (2442414111021), we get a palindrome (14453555535441).

The spelling of 12011141424420 in words is "twelve trillion, eleven billion, one hundred forty-one million, four hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 373 746 1119 1492 1865 2238 3357 3730 4476 5595 6714 7460 11190 13428 16785 22380 33570 67140 178896953 357793906 536690859 715587812 894484765 1073381718 1610072577 1788969530 2146763436 2683454295 3220145154 3577939060 5366908590 6440290308 8050362885 10733817180 16100725770 32201451540 66728563469 133457126938 200185690407 266914253876 333642817345 400371380814 600557071221 667285634690 800742761628 1000928452035 1201114142442 1334571269380 2001856904070 2402228284884 3002785356105 4003713808140 6005570712210 12011141424420