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12332032121 = 611374573229
BaseRepresentation
bin10110111110000101…
…11110000001111001
31011211102220010210102
423133002332001321
5200224000011441
65355410125145
7614412354263
oct133702760171
934742803712
1012332032121
115259124292
122481b807b5
131216b99536
1484db6cb33
154c29aa69b
hex2df0be079

12332032121 has 16 divisors (see below), whose sum is σ = 12657233040. Its totient is φ = 12011258880.

The previous prime is 12332032117. The next prime is 12332032187. The reversal of 12332032121 is 12123023321.

It can be written as a sum of positive squares in 8 ways, for example, as 297942121 + 12034090000 = 17261^2 + 109700^2 .

It is a cyclic number.

It is not a de Polignac number, because 12332032121 - 22 = 12332032117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12332032093 and 12332032102.

It is not an unprimeable number, because it can be changed into a prime (12332032021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3817535 + ... + 3820763.

It is an arithmetic number, because the mean of its divisors is an integer number (791077065).

Almost surely, 212332032121 is an apocalyptic number.

It is an amenable number.

12332032121 is a deficient number, since it is larger than the sum of its proper divisors (325200919).

12332032121 is a wasteful number, since it uses less digits than its factorization.

12332032121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12332032121 its reverse (12123023321), we get a palindrome (24455055442).

The spelling of 12332032121 in words is "twelve billion, three hundred thirty-two million, thirty-two thousand, one hundred twenty-one".

Divisors: 1 61 137 457 3229 8357 27877 62609 196969 442373 1475653 3819149 26984753 90014833 202164461 12332032121