Search a number
-
+
12111011221001 = 711712215293803
BaseRepresentation
bin1011000000111101000010…
…0001011000111000001001
31120212210122012021102121012
42300033100201120320021
53041411322333033001
641431415521453305
72356664101560110
oct260172041307011
946783565242535
1012111011221001
11394a284112250
1214372411a1235
1369b0a95551c4
142dc2671d0c77
1516007dbb42bb
hexb03d0858e09

12111011221001 has 16 divisors (see below), whose sum is σ = 15312110773248. Its totient is φ = 9304233968400.

The previous prime is 12111011220991. The next prime is 12111011221027. The reversal of 12111011221001 is 10012211011121.

It is a de Polignac number, because none of the positive numbers 2k-12111011221001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12111011221031) 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, 1107641435 + ... + 1107652368.

It is an arithmetic number, because the mean of its divisors is an integer number (957006923328).

Almost surely, 212111011221001 is an apocalyptic number.

12111011221001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12111011221001 is a deficient number, since it is larger than the sum of its proper divisors (3201099552247).

12111011221001 is a wasteful number, since it uses less digits than its factorization.

12111011221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215293892.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12111011221001 its reverse (10012211011121), we get a palindrome (22123222232122).

The spelling of 12111011221001 in words is "twelve trillion, one hundred eleven billion, eleven million, two hundred twenty-one thousand, one".

Divisors: 1 7 11 71 77 497 781 5467 2215293803 15507056621 24368231833 157285860013 170577622831 1101001020091 1730144460143 12111011221001