Search a number
-
+
12222012011 = 111726196211
BaseRepresentation
bin10110110000111110…
…10001101001101011
31011112202212112120112
423120133101221223
5200012313341021
65340440044535
7611605250036
oct133037215153
934482775515
1012222012011
115202009580
12245116374b
1311ca157c91
1483d2d001d
154b7ec6d5b
hex2d87d1a6b

12222012011 has 24 divisors (see below), whose sum is σ = 14188704960. Its totient is φ = 10438761600.

The previous prime is 12222012007. The next prime is 12222012037. The reversal of 12222012011 is 11021022221.

It is not a de Polignac number, because 12222012011 - 22 = 12222012007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12222012001) 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 23 ways as a sum of consecutive naturals, for example, 1964696 + ... + 1970906.

It is an arithmetic number, because the mean of its divisors is an integer number (591196040).

Almost surely, 212222012011 is an apocalyptic number.

12222012011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12222012011 is a deficient number, since it is larger than the sum of its proper divisors (1966692949).

12222012011 is a wasteful number, since it uses less digits than its factorization.

12222012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6875 (or 6858 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12222012011 its reverse (11021022221), we get a palindrome (23243034232).

The spelling of 12222012011 in words is "twelve billion, two hundred twenty-two million, twelve thousand, eleven".

Divisors: 1 11 17 187 289 619 3179 6211 6809 10523 68321 105587 115753 178891 1161457 1794979 1967801 3844609 19744769 42290699 65358353 718941883 1111092001 12222012011