Search a number
-
+
12211131322201 = 72973824018579
BaseRepresentation
bin1011000110110010000000…
…1001010000111101011001
31121020101001201220112201111
42301230200021100331121
53100031344104302301
641545414415020321
72400140134440640
oct261544011207531
947211051815644
1012211131322201
113988791319139
12145272320a6a1
136a7673bc5936
14303044196357
1516298d724551
hexb1b20250f59

12211131322201 has 16 divisors (see below), whose sum is σ = 14634569980800. Its totient is φ = 9967328719488.

The previous prime is 12211131322189. The next prime is 12211131322231. The reversal of 12211131322201 is 10222313111221.

It is a happy number.

It is not a de Polignac number, because 12211131322201 - 221 = 12211129225049 is a prime.

It is a super-2 number, since 2×122111313222012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211131322231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411994471 + ... + 412024108.

It is an arithmetic number, because the mean of its divisors is an integer number (914660623800).

Almost surely, 212211131322201 is an apocalyptic number.

It is an amenable number.

12211131322201 is a deficient number, since it is larger than the sum of its proper divisors (2423438658599).

12211131322201 is an equidigital number, since it uses as much as digits as its factorization.

12211131322201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824018688.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 12211131322201 its reverse (10222313111221), we get a palindrome (22433444433422).

The spelling of 12211131322201 in words is "twelve trillion, two hundred eleven billion, one hundred thirty-one million, three hundred twenty-two thousand, two hundred one".

Divisors: 1 7 29 73 203 511 2117 14819 824018579 5768130053 23896538791 60153356267 167275771537 421073493869 1744447331743 12211131322201