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12011012320201 = 891934096132789
BaseRepresentation
bin1010111011001000100000…
…0111110110101111001001
31120112020112002200221011121
42232302020013312233021
53033242023123221301
641313441034155241
72346524040130216
oct256621007665711
946466462627147
1012011012320201
113910929367a84
12141b993882b21
1369183103bb9b
142d749c378b0d
1515c679ae53a1
hexaec881f6bc9

12011012320201 has 32 divisors (see below), whose sum is σ = 12263111316000. Its totient is φ = 11762191761408.

The previous prime is 12011012320049. The next prime is 12011012320213. The reversal of 12011012320201 is 10202321011021.

It can be written as a sum of positive squares in 16 ways, for example, as 5572791176976 + 6438221143225 = 2360676^2 + 2537365^2 .

It is a cyclic number.

It is not a de Polignac number, because 12011012320201 - 215 = 12011012287433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12011012320271) 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, 4306564515 + ... + 4306567303.

It is an arithmetic number, because the mean of its divisors is an integer number (383222228625).

Almost surely, 212011012320201 is an apocalyptic number.

It is an amenable number.

12011012320201 is a deficient number, since it is larger than the sum of its proper divisors (252098995799).

12011012320201 is a wasteful number, since it uses less digits than its factorization.

12011012320201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4093.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12011012320201 its reverse (10202321011021), we get a palindrome (22213333331222).

The spelling of 12011012320201 in words is "twelve trillion, eleven billion, twelve million, three hundred twenty thousand, two hundred one".

Divisors: 1 89 193 409 613 2789 17177 36401 54557 78937 118309 248221 250717 538277 1140701 1709657 7025393 10529501 22313813 47906653 48388381 101522389 152159473 220155293 329963801 699249713 4306565909 19593821077 29366778289 62233224457 134955194609 12011012320201