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12011022121201 = 101353336886717
BaseRepresentation
bin1010111011001000100010…
…1101001111100011110001
31120112020112210010212121121
42232302020231033203301
53033242033130334301
641313442024222241
72346524216340445
oct256621055174361
946466483125547
1012011022121201
113910933951684
12141b99700a981
13691833090cac
142d749d7aa825
1515c67a8ce3a1
hexaec88b4f8f1

12011022121201 has 8 divisors (see below), whose sum is σ = 12164305613544. Its totient is φ = 11858412403200.

The previous prime is 12011022121181. The next prime is 12011022121253. The reversal of 12011022121201 is 10212122011021.

It can be written as a sum of positive squares in 4 ways, for example, as 5744285932176 + 6266736189025 = 2396724^2 + 2503345^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12011022121201 - 223 = 12011013732593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12011022121601) 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 7 ways as a sum of consecutive naturals, for example, 168407706 + ... + 168479011.

It is an arithmetic number, because the mean of its divisors is an integer number (1520538201693).

Almost surely, 212011022121201 is an apocalyptic number.

It is an amenable number.

12011022121201 is a deficient number, since it is larger than the sum of its proper divisors (153283492343).

12011022121201 is a wasteful number, since it uses less digits than its factorization.

12011022121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336887171.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12011022121201 its reverse (10212122011021), we get a palindrome (22223144132222).

The spelling of 12011022121201 in words is "twelve trillion, eleven billion, twenty-two million, one hundred twenty-one thousand, two hundred one".

Divisors: 1 101 353 35653 336886717 34025558417 118921011101 12011022121201