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12032000023121 = 13271195266409
BaseRepresentation
bin1010111100010110101100…
…0101100101101001010001
31120121020200202202201002222
42233011223011211221101
53034113014001214441
641331231405350425
72351166114510401
oct257055305455121
946536622681088
1012032000023121
113919819380901
121423a70568415
136937c7239700
142d84cd8ca801
1515cea7413d4b
hexaf16b165a51

12032000023121 has 6 divisors (see below), whose sum is σ = 13028733753030. Its totient is φ = 11106461559648.

The previous prime is 12032000023111. The next prime is 12032000023157. The reversal of 12032000023121 is 12132000023021.

12032000023121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 748984662721 + 11283015360400 = 865439^2 + 3359020^2 .

It is not a de Polignac number, because 12032000023121 - 234 = 12014820153937 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12032000023121.

It is not an unprimeable number, because it can be changed into a prime (12032000023111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35597633036 + ... + 35597633373.

It is an arithmetic number, because the mean of its divisors is an integer number (2171455625505).

Almost surely, 212032000023121 is an apocalyptic number.

It is an amenable number.

12032000023121 is a deficient number, since it is larger than the sum of its proper divisors (996733729909).

12032000023121 is an equidigital number, since it uses as much as digits as its factorization.

12032000023121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71195266435 (or 71195266422 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12032000023121 its reverse (12132000023021), we get a palindrome (24164000046142).

The spelling of 12032000023121 in words is "twelve trillion, thirty-two billion, twenty-three thousand, one hundred twenty-one".

Divisors: 1 13 169 71195266409 925538463317 12032000023121