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12122121210121 = 137152367337313
BaseRepresentation
bin1011000001100110011010…
…1110101000100100001001
31120220212022110200100112201
42300121212232220210021
53042102101012210441
641440454155240201
72360536315120666
oct260314656504411
946825273610481
1012122121210121
113953a6544453a
121439421a49061
1369c15a1acc70
142dc9dc932a6d
151604ce22cc31
hexb0666ba8909

12122121210121 has 32 divisors (see below), whose sum is σ = 13283836538112. Its totient is φ = 10994300190720.

The previous prime is 12122121209999. The next prime is 12122121210137. The reversal of 12122121210121 is 12101212122121.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12122121210121 - 213 = 12122121201929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12122121270121) 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 31 ways as a sum of consecutive naturals, for example, 324857961 + ... + 324895273.

It is an arithmetic number, because the mean of its divisors is an integer number (415119891816).

Almost surely, 212122121210121 is an apocalyptic number.

It is an amenable number.

12122121210121 is a deficient number, since it is larger than the sum of its proper divisors (1161715327991).

12122121210121 is a wasteful number, since it uses less digits than its factorization.

12122121210121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38593.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 12122121210121 its reverse (12101212122121), we get a palindrome (24223333332242).

The spelling of 12122121210121 in words is "twelve trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred ten thousand, one hundred twenty-one".

Divisors: 1 13 71 523 673 923 6799 8749 37133 37313 47783 351979 482729 485069 621179 2649223 4575727 19514699 24990509 25111649 34439899 253691087 324876617 326451437 1385543629 1782927079 13133392427 18012067177 23178052027 170734101551 932470862317 12122121210121