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12094849121 = 17245791577
BaseRepresentation
bin10110100001110100…
…01100000001100001
31011012220120222212212
423100322030001201
5144232240132441
65320054331505
7605502343535
oct132072140141
934186528785
1012094849121
115147255183
122416659b95
1311a99c3974
1482a46bbc5
154abc58eeb
hex2d0e8c061

12094849121 has 12 divisors (see below), whose sum is σ = 12876416268. Its totient is φ = 11358354432.

The previous prime is 12094849093. The next prime is 12094849147. The reversal of 12094849121 is 12194849021.

It can be written as a sum of positive squares in 6 ways, for example, as 797497600 + 11297351521 = 28240^2 + 106289^2 .

It is a de Polignac number, because none of the positive numbers 2k-12094849121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12094849181) 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 11 ways as a sum of consecutive naturals, for example, 86285 + ... + 177861.

It is an arithmetic number, because the mean of its divisors is an integer number (1073034689).

Almost surely, 212094849121 is an apocalyptic number.

It is an amenable number.

12094849121 is a deficient number, since it is larger than the sum of its proper divisors (781567147).

12094849121 is an equidigital number, since it uses as much as digits as its factorization.

12094849121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92068 (or 92051 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The spelling of 12094849121 in words is "twelve billion, ninety-four million, eight hundred forty-nine thousand, one hundred twenty-one".

Divisors: 1 17 289 457 7769 91577 132073 1556809 26465753 41850689 711461713 12094849121