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1212211212201 = 3611213742489
BaseRepresentation
bin10001101000111101011…
…010110010111110101001
311021212221002020222000000
4101220331122302332221
5124330102032242301
62324514313133213
7153402503202543
oct21507532627651
94255832228000
101212211212201
11428106699600
12176b270ba209
138a407431062
1442958206693
15217ebc7c786
hex11a3d6b2fa9

1212211212201 has 42 divisors (see below), whose sum is σ = 1997732028810. Its totient is φ = 734673408480.

The previous prime is 1212211212197. The next prime is 1212211212227. The reversal of 1212211212201 is 1022121122121.

1212211212201 is a `hidden beast` number, since 1 + 212 + 211 + 21 + 220 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 843318968976 + 368892243225 = 918324^2 + 607365^2 .

It is not a de Polignac number, because 1212211212201 - 22 = 1212211212197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1212211212101) 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 41 ways as a sum of consecutive naturals, for example, 6783036 + ... + 6959453.

It is an arithmetic number, because the mean of its divisors is an integer number (47565048305).

Almost surely, 21212211212201 is an apocalyptic number.

1212211212201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1212211212201 is a deficient number, since it is larger than the sum of its proper divisors (785520816609).

1212211212201 is an equidigital number, since it uses as much as digits as its factorization.

1212211212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13742529 (or 13742503 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1212211212201 its reverse (1022121122121), we get a palindrome (2234332334322).

The spelling of 1212211212201 in words is "one trillion, two hundred twelve billion, two hundred eleven million, two hundred twelve thousand, two hundred one".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 363 729 891 1089 2673 3267 8019 9801 29403 88209 13742489 41227467 123682401 151167379 371047203 453502137 1113141609 1360506411 1662841169 3339424827 4081519233 4988523507 10018274481 12244557699 14965570521 36733673097 44896711563 110201019291 134690134689 404070404067 1212211212201