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12009375 = 3255761
BaseRepresentation
bin101101110011…
…111110011111
3211121010202200
4231303332133
511033300000
61105222543
7204035520
oct55637637
924533680
1012009375
116862904
124031a53
132646351
141848847
1510c3500
hexb73f9f

12009375 has 72 divisors (see below), whose sum is σ = 25185888. Its totient is φ = 5400000.

The previous prime is 12009367. The next prime is 12009377. The reversal of 12009375 is 57390021.

12009375 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12009375 - 23 = 12009367 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12009377) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 196845 + ... + 196905.

It is an arithmetic number, because the mean of its divisors is an integer number (349804).

Almost surely, 212009375 is an apocalyptic number.

12009375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12009375 is an abundant number, since it is smaller than the sum of its proper divisors (13176513).

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

12009375 is an frugal number, since it uses more digits than its factorization.

12009375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 12009375 is about 3465.4545156444. The cubic root of 12009375 is about 229.0024535247.

Adding to 12009375 its reverse (57390021), we get a palindrome (69399396).

The spelling of 12009375 in words is "twelve million, nine thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 61 63 75 105 125 175 183 225 305 315 375 427 525 549 625 875 915 1125 1281 1525 1575 1875 2135 2625 2745 3125 3843 4375 4575 5625 6405 7625 7875 9375 10675 13125 13725 19215 21875 22875 28125 32025 38125 39375 53375 65625 68625 96075 114375 160125 190625 196875 266875 343125 480375 571875 800625 1334375 1715625 2401875 4003125 12009375