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12211202110211 = 131726153282843
BaseRepresentation
bin1011000110110010010001…
…0111010011001100000011
31121020101020200002221121122
42301230210113103030003
53100032020220011321
641545425424142455
72400141654225656
oct261544427231403
947211220087548
1012211202110211
113988818278225
121452742a67a2b
136a768577c030
1430304d74189d
15162994a588ab
hexb1b245d3303

12211202110211 has 24 divisors (see below), whose sum is σ = 14198599137744. Its totient is φ = 10434911777280.

The previous prime is 12211202110141. The next prime is 12211202110229. The reversal of 12211202110211 is 11201120211221.

It is not a de Polignac number, because 12211202110211 - 210 = 12211202109187 is a prime.

It is a super-2 number, since 2×122112021102112 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 12211202110211.

It is not an unprimeable number, because it can be changed into a prime (12211202110231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26412245 + ... + 26870598.

It is an arithmetic number, because the mean of its divisors is an integer number (591608297406).

Almost surely, 212211202110211 is an apocalyptic number.

12211202110211 is a deficient number, since it is larger than the sum of its proper divisors (1987397027533).

12211202110211 is a wasteful number, since it uses less digits than its factorization.

12211202110211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53282951 (or 53282934 counting only the distinct ones).

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

Adding to 12211202110211 its reverse (11201120211221), we get a palindrome (23412322321432).

The spelling of 12211202110211 in words is "twelve trillion, two hundred eleven billion, two hundred two million, one hundred ten thousand, two hundred eleven".

Divisors: 1 13 17 61 221 289 793 1037 3757 13481 17629 229177 53282843 692676959 905808331 3250253423 11775508303 15398741627 42253294499 55254308191 200183641151 718306006483 939323239247 12211202110211