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12110001121 = 4127110391049
BaseRepresentation
bin10110100011100111…
…11111001111100001
31011020222002210112001
423101303333033201
5144300130013441
65321355204001
7606045211501
oct132163771741
934228083461
1012110001121
115154864099
12241b746601
1311acb9a54a
1482c493a01
154ad24d731
hex2d1cff3e1

12110001121 has 16 divisors (see below), whose sum is σ = 12475008000. Its totient is φ = 11748499200.

The previous prime is 12110001109. The next prime is 12110001151.

12110001121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12110001121 - 27 = 12110000993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12110001098 and 12110001107.

It is not an unprimeable number, because it can be changed into a prime (12110001151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11543805 + ... + 11544853.

It is an arithmetic number, because the mean of its divisors is an integer number (779688000).

Almost surely, 212110001121 is an apocalyptic number.

It is an amenable number.

12110001121 is a deficient number, since it is larger than the sum of its proper divisors (365006879).

12110001121 is a wasteful number, since it uses less digits than its factorization.

12110001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 1211000 and 1121, that added together give a palindrome (1212121).

The spelling of 12110001121 in words is "twelve billion, one hundred ten million, one thousand, one hundred twenty-one".

Divisors: 1 41 271 1039 1049 11111 42599 43009 281569 284279 1089911 11544329 11655439 44686351 295365881 12110001121