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12010121211101 = 1323316692375701
BaseRepresentation
bin1010111011000101001100…
…0000100010110011011101
31120112011012222220220021212
42232301103000202303131
53033233212012223401
641313212402434205
72346462666621416
oct256612300426335
946464188826255
1012010121211101
113910511358582
12141b785362965
1369171b5392b0
142d7415c9480d
1515c626772dbb
hexaec53022cdd

12010121211101 has 16 divisors (see below), whose sum is σ = 12997275585840. Its totient is φ = 11032066598400.

The previous prime is 12010121211071. The next prime is 12010121211157. The reversal of 12010121211101 is 10111212101021.

It can be written as a sum of positive squares in 8 ways, for example, as 1291634523001 + 10718486688100 = 1136501^2 + 3273910^2 .

It is a cyclic number.

It is not a de Polignac number, because 12010121211101 - 218 = 12010120948957 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010121211601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3867551 + ... + 6243251.

It is an arithmetic number, because the mean of its divisors is an integer number (812329724115).

Almost surely, 212010121211101 is an apocalyptic number.

It is an amenable number.

12010121211101 is a deficient number, since it is larger than the sum of its proper divisors (987154374739).

12010121211101 is a wasteful number, since it uses less digits than its factorization.

12010121211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377616.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12010121211101 its reverse (10111212101021), we get a palindrome (22121333312122).

The spelling of 12010121211101 in words is "twelve trillion, ten billion, one hundred twenty-one million, two hundred eleven thousand, one hundred one".

Divisors: 1 13 233 1669 3029 21697 388877 2375701 5055401 30884113 553538333 3965044969 7195998329 51545584597 923855477777 12010121211101