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12272512589 is a prime number
BaseRepresentation
bin10110110110111111…
…11010111001001101
31011200021220020100022
423123133322321031
5200113230400324
65345442311525
7613060431041
oct133337727115
934607806308
1012272512589
115228571397
1224660585a5
13120775a18c
14845cb8021
154bc65005e
hex2db7fae4d

12272512589 has 2 divisors, whose sum is σ = 12272512590. Its totient is φ = 12272512588.

The previous prime is 12272512453. The next prime is 12272512601. The reversal of 12272512589 is 98521527221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9434819689 + 2837692900 = 97133^2 + 53270^2 .

It is a cyclic number.

It is not a de Polignac number, because 12272512589 - 228 = 12004077133 is a prime.

It is a super-2 number, since 2×122725125892 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12272532589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6136256294 + 6136256295.

It is an arithmetic number, because the mean of its divisors is an integer number (6136256295).

Almost surely, 212272512589 is an apocalyptic number.

It is an amenable number.

12272512589 is a deficient number, since it is larger than the sum of its proper divisors (1).

12272512589 is an equidigital number, since it uses as much as digits as its factorization.

12272512589 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 201600, while the sum is 44.

The spelling of 12272512589 in words is "twelve billion, two hundred seventy-two million, five hundred twelve thousand, five hundred eighty-nine".