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12111111121 = 43990128447
BaseRepresentation
bin10110100011110000…
…01110001111010001
31011021001012012011011
423101320032033101
5144300421023441
65321435050521
7606060513604
oct132170161721
934231165134
1012111111121
11515545204a
12241bba0a41
1311b0198855
1482c6a233b
154ad3bc581
hex2d1e0e3d1

12111111121 has 8 divisors (see below), whose sum is σ = 12394452224. Its totient is φ = 11827846800.

The previous prime is 12111111113. The next prime is 12111111139.

12111111121 is nontrivially palindromic in base 10.

12111111121 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 12111111121 - 23 = 12111111113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12111111101) 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, 411520 + ... + 439966.

It is an arithmetic number, because the mean of its divisors is an integer number (1549306528).

Almost surely, 212111111121 is an apocalyptic number.

It is an amenable number.

12111111121 is a deficient number, since it is larger than the sum of its proper divisors (283341103).

12111111121 is an equidigital number, since it uses as much as digits as its factorization.

12111111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38391.

The product of its digits is 4, while the sum is 13.

The spelling of 12111111121 in words is "twelve billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 43 9901 28447 425743 1223221 281653747 12111111121