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12132023121 = 321348002569
BaseRepresentation
bin10110100110001111…
…11111101101010001
31011022111112122000200
423103013333231101
5144321244214441
65323503205413
7606433331541
oct132307775521
934274478020
1012132023121
115166235599
122426ba6869
1311b460b10a
14831387321
154b014d7b6
hex2d31ffb51

12132023121 has 6 divisors (see below), whose sum is σ = 17524033410. Its totient is φ = 8088015408.

The previous prime is 12132023087. The next prime is 12132023131.

12132023121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 6779052225 + 5352970896 = 82335^2 + 73164^2 .

It is a de Polignac number, because none of the positive numbers 2k-12132023121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12132023094 and 12132023103.

It is not an unprimeable number, because it can be changed into a prime (12132023131) 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, 674001276 + ... + 674001293.

It is an arithmetic number, because the mean of its divisors is an integer number (2920672235).

Almost surely, 212132023121 is an apocalyptic number.

It is an amenable number.

12132023121 is a deficient number, since it is larger than the sum of its proper divisors (5392010289).

12132023121 is a wasteful number, since it uses less digits than its factorization.

12132023121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348002575 (or 1348002572 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 121320 and 23121, that added together give a palindrome (144441).

The spelling of 12132023121 in words is "twelve billion, one hundred thirty-two million, twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 9 1348002569 4044007707 12132023121