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121120002112009 = 43137337121750131
BaseRepresentation
bin11011100010100001110010…
…101100110111101000001001
3120212211221220012100101001111
4123202201302230313220021
5111333412231020041014
61105333432201050321
734340426364103105
oct3342416254675011
9525757805311044
10121120002112009
1135657782666a8a
1211701a4b7869a1
13527774b16bc84
1421ca34cc0c905
15e0092113d2c4
hex6e2872b37a09

121120002112009 has 32 divisors (see below), whose sum is σ = 125317228772736. Its totient is φ = 116992697794560.

The previous prime is 121120002111989. The next prime is 121120002112019. The reversal of 121120002112009 is 900211200021121.

It is a cyclic number.

It is not a de Polignac number, because 121120002112009 - 211 = 121120002109961 is a prime.

It is a super-2 number, since 2×1211200021120092 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121120002112019) 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 31 ways as a sum of consecutive naturals, for example, 2416044874 + ... + 2416095004.

It is an arithmetic number, because the mean of its divisors is an integer number (3916163399148).

Almost surely, 2121120002112009 is an apocalyptic number.

It is an amenable number.

121120002112009 is a deficient number, since it is larger than the sum of its proper divisors (4197226660727).

121120002112009 is a wasteful number, since it uses less digits than its factorization.

121120002112009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51865.

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

The spelling of 121120002112009 in words is "one hundred twenty-one trillion, one hundred twenty billion, two million, one hundred twelve thousand, nine".

Divisors: 1 43 137 337 1217 5891 14491 46169 50131 52331 166729 410129 1985267 2155633 6867947 7169347 16894147 17635547 56187673 61009427 295321721 726448321 2314498139 2416069939 2623405361 8358291499 20560176899 99523419977 359406534457 884087606657 2816744235163 121120002112009