Search a number
-
+
12123300 = 22352723251
BaseRepresentation
bin101110001111…
…110010100100
3211210221001010
4232033302210
511100421200
61111502220
7205021620
oct56176244
924727033
1012123300
116930462
124087970
132686167
141878180
1510e7150
hexb8fca4

12123300 has 144 divisors (see below), whose sum is σ = 41997312. Its totient is φ = 2640000.

The previous prime is 12123299. The next prime is 12123317. The reversal of 12123300 is 332121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48175 + ... + 48425.

It is an arithmetic number, because the mean of its divisors is an integer number (291648).

Almost surely, 212123300 is an apocalyptic number.

12123300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20998656).

12123300 is an abundant number, since it is smaller than the sum of its proper divisors (29874012).

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

12123300 is a wasteful number, since it uses less digits than its factorization.

12123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 12123300 is about 3481.8529549652. The cubic root of 12123300 is about 229.7243073504.

Adding to 12123300 its reverse (332121), we get a palindrome (12455421).

The spelling of 12123300 in words is "twelve million, one hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 25 28 30 35 42 46 50 60 69 70 75 84 92 100 105 115 138 140 150 161 175 210 230 251 276 300 322 345 350 420 460 483 502 525 575 644 690 700 753 805 966 1004 1050 1150 1255 1380 1506 1610 1725 1757 1932 2100 2300 2415 2510 3012 3220 3450 3514 3765 4025 4830 5020 5271 5773 6275 6900 7028 7530 8050 8785 9660 10542 11546 12075 12550 15060 16100 17319 17570 18825 21084 23092 24150 25100 26355 28865 34638 35140 37650 40411 43925 48300 52710 57730 69276 75300 80822 86595 87850 105420 115460 121233 131775 144325 161644 173190 175700 202055 242466 263550 288650 346380 404110 432975 484932 527100 577300 606165 808220 865950 1010275 1212330 1731900 2020550 2424660 3030825 4041100 6061650 12123300