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12211120210211 = 1311516037135181
BaseRepresentation
bin1011000110110001111101…
…1110111000000100100011
31121020101000221222222221022
42301230133132320010203
53100031333233211321
641545413340520055
72400136641130316
oct261543736700443
947211027888838
1012211120210211
11398878601957a
12145271b55002b
136a7671804bb0
1430304290297d
1516298c77bdab
hexb1b1f7b8123

12211120210211 has 16 divisors (see below), whose sum is σ = 13164139957248. Its totient is φ = 11260061424000.

The previous prime is 12211120210171. The next prime is 12211120210231. The reversal of 12211120210211 is 11201202111221.

It is a cyclic number.

It is not a de Polignac number, because 12211120210211 - 238 = 11936242303267 is a prime.

It is a super-2 number, since 2×122111202102112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12211120210211.

It is not an unprimeable number, because it can be changed into a prime (12211120210231) 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 15 ways as a sum of consecutive naturals, for example, 90264041 + ... + 90399221.

It is an arithmetic number, because the mean of its divisors is an integer number (822758747328).

Almost surely, 212211120210211 is an apocalyptic number.

12211120210211 is a deficient number, since it is larger than the sum of its proper divisors (953019747037).

12211120210211 is a wasteful number, since it uses less digits than its factorization.

12211120210211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142382.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12211120210211 its reverse (11201202111221), we get a palindrome (23412322321432).

The spelling of 12211120210211 in words is "twelve trillion, two hundred eleven billion, one hundred twenty million, two hundred ten thousand, two hundred eleven".

Divisors: 1 13 1151 6037 14963 78481 135181 1757353 6948587 90331631 155593331 816087697 2022713303 10609140061 939316939247 12211120210211