Search a number
-
+
12201122202121 = 1725911487918617
BaseRepresentation
bin1011000110001100101110…
…0011100000001000001001
31121012102020011222120012101
42301203023203200020021
53044400344240431441
641541041304513401
72366334116352556
oct261431343401011
947172204876171
1012201122202121
113984515445076
1214507ab17b861
136a673a364288
14302774b3ba2d
151625a4b64231
hexb18cb8e0209

12201122202121 has 16 divisors (see below), whose sum is σ = 12925384151040. Its totient is φ = 11477589061120.

The previous prime is 12201122202107. The next prime is 12201122202131. The reversal of 12201122202121 is 12120222110221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12201122202121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12201122202131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655366005 + ... + 655384621.

It is an arithmetic number, because the mean of its divisors is an integer number (807836509440).

Almost surely, 212201122202121 is an apocalyptic number.

It is an amenable number.

12201122202121 is a deficient number, since it is larger than the sum of its proper divisors (724261948919).

12201122202121 is a wasteful number, since it uses less digits than its factorization.

12201122202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36104.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12201122202121 its reverse (12120222110221), we get a palindrome (24321344312342).

The spelling of 12201122202121 in words is "twelve trillion, two hundred one billion, one hundred twenty-two million, two hundred two thousand, one hundred twenty-one".

Divisors: 1 17 2591 14879 18617 44047 252943 316489 38551489 48236647 277002343 655375313 820022999 4709039831 717713070713 12201122202121