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12240988321 = 312432832
BaseRepresentation
bin10110110011001111…
…01010100010100001
31011121002120122011211
423121213222202201
5200032143111241
65342354510121
7612225453412
oct133147524241
934532518154
1012240988321
11521179a781
122457595341
131201070473
14841a2d809
154b99c4781
hex2d99ea8a1

12240988321 has 27 divisors (see below), whose sum is σ = 13107489777. Its totient is φ = 11431221480.

The previous prime is 12240988303. The next prime is 12240988327. The reversal of 12240988321 is 12388904221.

The square root of 12240988321 is 110639.

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

12240988321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12240988321 - 217 = 12240857249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12240988327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 147481746 + ... + 147481828.

Almost surely, 212240988321 is an apocalyptic number.

12240988321 is the 110639-th square number.

12240988321 is the 55320-th centered octagonal number.

It is an amenable number.

12240988321 is a deficient number, since it is larger than the sum of its proper divisors (866501456).

12240988321 is an frugal number, since it uses more digits than its factorization.

12240988321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 12240988321 in words is "twelve billion, two hundred forty million, nine hundred eighty-eight thousand, three hundred twenty-one".

Divisors: 1 31 43 83 961 1333 1849 2573 3569 6889 41323 57319 79763 110639 153467 213559 296227 1776889 3429809 4757477 6620329 9183037 12737761 147481787 284674147 394870591 12240988321