Search a number
-
+
12201011112221 = 171913757625843
BaseRepresentation
bin1011000110001100010011…
…1011101110100100011101
31121012101221102221121111122
42301203010323232210131
53044400132321042341
641541022255500325
72366331300201401
oct261430473564435
947171842847448
1012201011112221
113984468769638
121450779b276a5
136a6720339ac9
143027640a1101
1516259a01d94b
hexb18c4eee91d

12201011112221 has 8 divisors (see below), whose sum is σ = 12986354916864. Its totient is φ = 11423182559680.

The previous prime is 12201011112211. The next prime is 12201011112259. The reversal of 12201011112221 is 12221111010221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12201011112221 is a prime.

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 12201011112221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201011112211) 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 7 ways as a sum of consecutive naturals, for example, 1878809675 + ... + 1878816168.

It is an arithmetic number, because the mean of its divisors is an integer number (1623294364608).

Almost surely, 212201011112221 is an apocalyptic number.

It is an amenable number.

12201011112221 is a deficient number, since it is larger than the sum of its proper divisors (785343804643).

12201011112221 is a wasteful number, since it uses less digits than its factorization.

12201011112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757626051.

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

Adding to 12201011112221 its reverse (12221111010221), we get a palindrome (24422122122442).

The spelling of 12201011112221 in words is "twelve trillion, two hundred one billion, eleven million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 17 191 3247 3757625843 63879639331 717706536013 12201011112221