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12201122200201 = 1110172531514147
BaseRepresentation
bin1011000110001100101110…
…0011011111101010001001
31121012102020011222110120021
42301203023203133222021
53044400344240401301
641541041304500441
72366334116344144
oct261431343375211
947172204873507
1012201122200201
113984515443690
1214507ab17a721
136a673a36343c
14302774b3b05b
151625a4b638a1
hexb18cb8dfa89

12201122200201 has 16 divisors (see below), whose sum is σ = 13443962620608. Its totient is φ = 10980586792000.

The previous prime is 12201122200147. The next prime is 12201122200219. The reversal of 12201122200201 is 10200222110221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12201122200201 - 227 = 12200987982473 is a prime.

It is a super-2 number, since 2×122011222002012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12201122200271) 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, 7301010 + ... + 8815156.

It is an arithmetic number, because the mean of its divisors is an integer number (840247663788).

Almost surely, 212201122200201 is an apocalyptic number.

12201122200201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12201122200201 is a deficient number, since it is larger than the sum of its proper divisors (1242840420407).

12201122200201 is a wasteful number, since it uses less digits than its factorization.

12201122200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521512.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12201122200201 its reverse (10200222110221), we get a palindrome (22401344310422).

The spelling of 12201122200201 in words is "twelve trillion, two hundred one billion, one hundred twenty-two million, two hundred thousand, two hundred one".

Divisors: 1 11 101 1111 7253 79783 732553 1514147 8058083 16655617 152928847 1682217317 10982108191 120803190101 1109192927291 12201122200201