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12111111111121 = 111101010101011
BaseRepresentation
bin1011000000111101011001…
…1110011100000111010001
31120212210220011020101002021
42300033112132130013101
53041412023421023441
641431433450451441
72356666423614001
oct260172636340721
946783804211067
1012111111111121
11394a325539170
12143726a733b81
1369b0c415a999
142dc276594001
151600878463d1
hexb03d679c1d1

12111111111121 has 4 divisors (see below), whose sum is σ = 13212121212144. Its totient is φ = 11010101010100.

The previous prime is 12111111111083. The next prime is 12111111111139.

12111111111121 is nontrivially palindromic in base 10.

12111111111121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 12111111111121 - 213 = 12111111102929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12111111111095 and 12111111111104.

It is not an unprimeable number, because it can be changed into a prime (12111111117121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 550505050495 + ... + 550505050516.

It is an arithmetic number, because the mean of its divisors is an integer number (3303030303036).

Almost surely, 212111111111121 is an apocalyptic number.

12111111111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12111111111121 is a deficient number, since it is larger than the sum of its proper divisors (1101010101023).

12111111111121 is a wasteful number, since it uses less digits than its factorization.

12111111111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101010101022.

The product of its digits is 4, while the sum is 16.

It can be divided in two parts, 1211111 and 1111121, that added together give a palindrome (2322232).

The spelling of 12111111111121 in words is "twelve trillion, one hundred eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 11 1101010101011 12111111111121