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12122200212201 = 322946445211541
BaseRepresentation
bin1011000001100110101101…
…1100000000001011101001
31120220212111222100002000200
42300121223130000023221
53042102231223242301
641440510100422413
72360541264456522
oct260315334001351
946825458302020
1012122200212201
113953aa5aa3a12
1214394443a7a09
1369c170681061
142dca09219849
151604d6135c86
hexb066b7002e9

12122200212201 has 12 divisors (see below), whose sum is σ = 18113632501380. Its totient is φ = 7802795538720.

The previous prime is 12122200212149. The next prime is 12122200212209. The reversal of 12122200212201 is 10221200222121.

It is a happy number.

12122200212201 is a `hidden beast` number, since 1 + 212 + 220 + 0 + 212 + 20 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2492498925225 + 9629701286976 = 1578765^2 + 3103176^2 .

It is not a de Polignac number, because 12122200212201 - 218 = 12122199950057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12122200212209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23222605510 + ... + 23222606031.

It is an arithmetic number, because the mean of its divisors is an integer number (1509469375115).

Almost surely, 212122200212201 is an apocalyptic number.

It is an amenable number.

12122200212201 is a deficient number, since it is larger than the sum of its proper divisors (5991432289179).

12122200212201 is a wasteful number, since it uses less digits than its factorization.

12122200212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46445211576 (or 46445211573 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12122200212201 its reverse (10221200222121), we get a palindrome (22343400434322).

The spelling of 12122200212201 in words is "twelve trillion, one hundred twenty-two billion, two hundred million, two hundred twelve thousand, two hundred one".

Divisors: 1 3 9 29 87 261 46445211541 139335634623 418006903869 1346911134689 4040733404067 12122200212201