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12012112200109 = 722945171871437
BaseRepresentation
bin1010111011001100100110…
…1011100100000110101101
31120112100100202022121202111
42232303021223210012231
53033301301210400414
641314142124324021
72346563224013200
oct256631153440655
946470322277674
1012012112200109
11391134320003a
1214200400a3611
13691977b79cb8
142d7564485937
1515c6e14558c4
hexaecc9ae41ad

12012112200109 has 24 divisors (see below), whose sum is σ = 14458318271640. Its totient is φ = 9938852251776.

The previous prime is 12012112200103. The next prime is 12012112200131. The reversal of 12012112200109 is 90100221121021.

It can be written as a sum of positive squares in 4 ways, for example, as 729567097609 + 11282545102500 = 854147^2 + 3358950^2 .

It is not a de Polignac number, because 12012112200109 - 221 = 12012110102957 is a prime.

It is a super-2 number, since 2×120121122001092 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12012112200109.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012112200103) 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 23 ways as a sum of consecutive naturals, for example, 5482939 + ... + 7354375.

It is an arithmetic number, because the mean of its divisors is an integer number (602429927985).

Almost surely, 212012112200109 is an apocalyptic number.

It is an amenable number.

12012112200109 is a deficient number, since it is larger than the sum of its proper divisors (2446206071531).

12012112200109 is a wasteful number, since it uses less digits than its factorization.

12012112200109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875997 (or 1875990 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 12012112200109 in words is "twelve trillion, twelve billion, one hundred twelve million, two hundred thousand, one hundred nine".

Divisors: 1 7 29 49 203 1421 4517 31619 130993 221333 916951 1871437 6418657 13100059 54271673 91700413 379901711 2659311977 8453280929 59172966503 245145146941 414210765521 1716016028587 12012112200109