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12128381235 = 335239375899
BaseRepresentation
bin10110100101110100…
…00110100100110011
31011022020200121022000
423102322012210303
5144314331144420
65323253145043
7606360353025
oct132272064463
934266617260
1012128381235
115164178373
12242592b183
1311b3934559
14830aba015
154aeb7e690
hex2d2e86933

12128381235 has 32 divisors (see below), whose sum is σ = 21651840000. Its totient is φ = 6441388128.

The previous prime is 12128381201. The next prime is 12128381263. The reversal of 12128381235 is 53218382121.

12128381235 is a `hidden beast` number, since 1 + 21 + 28 + 381 + 235 = 666.

12128381235 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 12128381235 - 26 = 12128381171 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12128381235.

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 31 ways as a sum of consecutive naturals, for example, 155685 + ... + 220214.

It is an arithmetic number, because the mean of its divisors is an integer number (676620000).

Almost surely, 212128381235 is an apocalyptic number.

12128381235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12128381235 is a deficient number, since it is larger than the sum of its proper divisors (9523458765).

12128381235 is a wasteful number, since it uses less digits than its factorization.

12128381235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376152 (or 376146 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The spelling of 12128381235 in words is "twelve billion, one hundred twenty-eight million, three hundred eighty-one thousand, two hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 135 239 717 1195 2151 3585 6453 10755 32265 375899 1127697 1879495 3383091 5638485 10149273 16915455 50746365 89839861 269519583 449199305 808558749 1347597915 2425676247 4042793745 12128381235