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12128471190 = 23251112250981
BaseRepresentation
bin10110100101110100…
…11100100010010110
31011022020212011200200
423102322130202112
5144314342034230
65323255121330
7606361206213
oct132272344226
934266764620
1012128471190
115164229a10
122425973246
1311b3966494
14830b00b0a
154aeb9b160
hex2d2e9c896

12128471190 has 48 divisors (see below), whose sum is σ = 34400757456. Its totient is φ = 2940235200.

The previous prime is 12128471189. The next prime is 12128471209. The reversal of 12128471190 is 9117482121.

12128471190 is a `hidden beast` number, since 121 + 284 + 71 + 190 = 666.

12128471190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121284711902 (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 6124501 + ... + 6126480.

It is an arithmetic number, because the mean of its divisors is an integer number (716682447).

Almost surely, 212128471190 is an apocalyptic number.

12128471190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12128471190 is an abundant number, since it is smaller than the sum of its proper divisors (22272286266).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12128471190 is a wasteful number, since it uses less digits than its factorization.

12128471190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12251005 (or 12251002 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 12128471190 in words is "twelve billion, one hundred twenty-eight million, four hundred seventy-one thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 12250981 24501962 36752943 61254905 73505886 110258829 122509810 134760791 183764715 220517658 269521582 367529430 404282373 551294145 673803955 808564746 1102588290 1212847119 1347607910 2021411865 2425694238 4042823730 6064235595 12128471190