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12101122111 = 136182118587
BaseRepresentation
bin10110100010100100…
…00111100000111111
31011020100101200210211
423101102013200333
5144240341401421
65320441013251
7605606561251
oct132122074077
934210350724
1012101122111
11514a84a171
122418784227
1311ab0abcb0
1482b221cd1
154ac5979e1
hex2d148783f

12101122111 has 16 divisors (see below), whose sum is σ = 13262463648. Its totient is φ = 10973174400.

The previous prime is 12101122091. The next prime is 12101122133. The reversal of 12101122111 is 11122110121.

It is a happy number.

12101122111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12101122111 - 213 = 12101113919 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12101122091 and 12101122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101122151) 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, 641760 + ... + 660346.

It is an arithmetic number, because the mean of its divisors is an integer number (828903978).

Almost surely, 212101122111 is an apocalyptic number.

12101122111 is a deficient number, since it is larger than the sum of its proper divisors (1161341537).

12101122111 is a wasteful number, since it uses less digits than its factorization.

12101122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19482.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12101122111 its reverse (11122110121), we get a palindrome (23223232232).

The spelling of 12101122111 in words is "twelve billion, one hundred one million, one hundred twenty-two thousand, one hundred eleven".

Divisors: 1 13 61 793 821 10673 18587 50081 241631 651053 1133807 14739491 15259927 198379051 930855547 12101122111