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12105450121 = 314115316221
BaseRepresentation
bin10110100011000101…
…01000001010001001
31011020122112120201111
423101202220022021
5144242443400441
65321113450321
7605661425332
oct132142501211
934218476644
1012105450121
115152235936
12241a1109a1
1311abc65c4b
1482ba2b289
154acb50081
hex2d18a8289

12105450121 has 16 divisors (see below), whose sum is σ = 12811147776. Its totient is φ = 11419920000.

The previous prime is 12105450113. The next prime is 12105450163.

12105450121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12105450121 - 23 = 12105450113 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12105450092 and 12105450101.

It is not an unprimeable number, because it can be changed into a prime (12105450821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1942791 + ... + 1949011.

It is an arithmetic number, because the mean of its divisors is an integer number (800696736).

Almost surely, 212105450121 is an apocalyptic number.

It is an amenable number.

12105450121 is a deficient number, since it is larger than the sum of its proper divisors (705697655).

12105450121 is a wasteful number, since it uses less digits than its factorization.

12105450121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7824.

The product of its (nonzero) digits is 400, while the sum is 22.

The spelling of 12105450121 in words is "twelve billion, one hundred five million, four hundred fifty thousand, one hundred twenty-one".

Divisors: 1 31 41 1271 1531 6221 47461 62771 192851 255061 1945901 7906891 9524351 295254881 390498391 12105450121