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12116271211 = 115918669139
BaseRepresentation
bin10110100100010111…
…11010000001101011
31011021101220100110121
423102023322001223
5144303231134321
65322141424111
7606152414602
oct132213720153
934241810417
1012116271211
115158356990
12242186b037
1311b1284465
1482d246a39
154ada8b441
hex2d22fa06b

12116271211 has 8 divisors (see below), whose sum is σ = 13441780800. Its totient is φ = 10828100040.

The previous prime is 12116271191. The next prime is 12116271227. The reversal of 12116271211 is 11217261121.

It is a happy number.

12116271211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 12116271211 - 25 = 12116271179 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12116272211) 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 7 ways as a sum of consecutive naturals, for example, 9333921 + ... + 9335218.

It is an arithmetic number, because the mean of its divisors is an integer number (1680222600).

Almost surely, 212116271211 is an apocalyptic number.

12116271211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12116271211 is a deficient number, since it is larger than the sum of its proper divisors (1325509589).

12116271211 is a wasteful number, since it uses less digits than its factorization.

12116271211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18669209.

The product of its digits is 336, while the sum is 25.

The spelling of 12116271211 in words is "twelve billion, one hundred sixteen million, two hundred seventy-one thousand, two hundred eleven".

Divisors: 1 11 59 649 18669139 205360529 1101479201 12116271211