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12061091329 = 722925412
BaseRepresentation
bin10110011101110010…
…11010011000000001
31011010120001220220021
423032321122120001
5144200114410304
65312451013441
7604612404400
oct131671323001
934116056807
1012061091329
11512a198481
12240729a281
1311a2a04441
14825ba1637
154a8cdba54
hex2cee5a601

12061091329 has 27 divisors (see below), whose sum is σ = 14557642281. Its totient is φ = 9963142560.

The previous prime is 12061091297. The next prime is 12061091359. The reversal of 12061091329 is 92319016021.

The square root of 12061091329 is 109823.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 75220929 + 11985870400 = 8673^2 + 109480^2 .

It is not a de Polignac number, because 12061091329 - 25 = 12061091297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12061091294 and 12061091303.

It is not an unprimeable number, because it can be changed into a prime (12061091359) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22293799 + ... + 22294339.

Almost surely, 212061091329 is an apocalyptic number.

12061091329 is the 109823-rd square number.

12061091329 is the 54912-nd centered octagonal number.

It is an amenable number.

12061091329 is a deficient number, since it is larger than the sum of its proper divisors (2496550952).

12061091329 is an frugal number, since it uses more digits than its factorization.

12061091329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The spelling of 12061091329 in words is "twelve billion, sixty-one million, ninety-one thousand, three hundred twenty-nine".

Divisors: 1 7 29 49 203 541 841 1421 3787 5887 15689 26509 41209 109823 292681 454981 768761 2048767 3184867 8487749 14341369 22294069 59414243 246144721 415899701 1723013047 12061091329