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12240422205 = 3511472935387
BaseRepresentation
bin10110110011001011…
…00000010100111101
31011121001111212121120
423121211200110331
5200032022002310
65342334421153
7612220605054
oct133145402475
934531455546
1012240422205
115211443410
1224573617b9
131200c0289b
1484192339b
154b9911b70
hex2d996053d

12240422205 has 64 divisors (see below), whose sum is σ = 21898211328. Its totient is φ = 5787580160.

The previous prime is 12240422191. The next prime is 12240422221. The reversal of 12240422205 is 50222404221.

12240422205 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 12240422205 - 218 = 12240160061 is a prime.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2269522 + ... + 2274908.

It is an arithmetic number, because the mean of its divisors is an integer number (342159552).

Almost surely, 212240422205 is an apocalyptic number.

12240422205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12240422205 is a deficient number, since it is larger than the sum of its proper divisors (9657789123).

12240422205 is a wasteful number, since it uses less digits than its factorization.

12240422205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5746.

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 12240422205 its reverse (50222404221), we get a palindrome (62462826426).

The spelling of 12240422205 in words is "twelve billion, two hundred forty million, four hundred twenty-two thousand, two hundred five".

Divisors: 1 3 5 11 15 33 47 55 141 165 235 293 517 705 879 1465 1551 2585 3223 4395 5387 7755 9669 13771 16115 16161 26935 41313 48345 59257 68855 80805 151481 177771 206565 253189 296285 454443 757405 759567 888855 1265945 1578391 2272215 2785079 3797835 4735173 7891955 8355237 13925395 17362301 23675865 41776185 52086903 74184377 86811505 222553131 260434515 370921885 816028147 1112765655 2448084441 4080140735 12240422205