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12030200 = 2352713661
BaseRepresentation
bin101101111001…
…000011111000
3211122012022222
4231321003320
511034431300
61105503212
7204153320
oct55710370
924565288
1012030200
116877516
124041b08
132652980
141852280
1510c9785
hexb790f8

12030200 has 96 divisors (see below), whose sum is σ = 34476960. Its totient is φ = 3801600.

The previous prime is 12030197. The next prime is 12030209. The reversal of 12030200 is 203021.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12030209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 17870 + ... + 18530.

It is an arithmetic number, because the mean of its divisors is an integer number (359135).

Almost surely, 212030200 is an apocalyptic number.

12030200 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 12030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17238480).

12030200 is an abundant number, since it is smaller than the sum of its proper divisors (22446760).

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

12030200 is a wasteful number, since it uses less digits than its factorization.

12030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 12030200 is about 3468.4578705817. The cubic root of 12030200 is about 229.1347452324.

Adding to 12030200 its reverse (203021), we get a palindrome (12233221).

The spelling of 12030200 in words is "twelve million, thirty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 325 350 364 455 520 650 661 700 728 910 1300 1322 1400 1820 2275 2600 2644 3305 3640 4550 4627 5288 6610 8593 9100 9254 13220 16525 17186 18200 18508 23135 26440 33050 34372 37016 42965 46270 60151 66100 68744 85930 92540 115675 120302 132200 171860 185080 214825 231350 240604 300755 343720 429650 462700 481208 601510 859300 925400 1203020 1503775 1718600 2406040 3007550 6015100 12030200