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12120232300 = 225211101127859
BaseRepresentation
bin10110100100110110…
…00001000101101100
31011021200100121001121
423102123001011230
5144310234413200
65322402350324
7606231163141
oct132233010554
934250317047
1012120232300
11515a611a10
12242305b3a4
1311b20403b7
1482d9983c8
154ae0bee1a
hex2d26c116c

12120232300 has 144 divisors (see below), whose sum is σ = 29238128640. Its totient is φ = 4324320000.

The previous prime is 12120232279. The next prime is 12120232349. The reversal of 12120232300 is 323202121.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14109271 + ... + 14110129.

It is an arithmetic number, because the mean of its divisors is an integer number (203042560).

Almost surely, 212120232300 is an apocalyptic number.

12120232300 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 12120232300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14619064320).

12120232300 is an abundant number, since it is smaller than the sum of its proper divisors (17117896340).

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

12120232300 is a wasteful number, since it uses less digits than its factorization.

12120232300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12120232300 its reverse (323202121), we get a palindrome (12443434421).

The spelling of 12120232300 in words is "twelve billion, one hundred twenty million, two hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 127 202 220 254 275 404 505 508 550 635 859 1010 1100 1111 1270 1397 1718 2020 2222 2525 2540 2794 3175 3436 4295 4444 5050 5555 5588 6350 6985 8590 9449 10100 11110 12700 12827 13970 17180 18898 21475 22220 25654 27775 27940 34925 37796 42950 47245 51308 55550 64135 69850 85900 86759 94490 109093 111100 128270 139700 141097 173518 188980 218186 236225 256540 282194 320675 347036 433795 436372 472450 545465 564388 641350 705485 867590 944900 954349 1090930 1200023 1282700 1410970 1735180 1908698 2168975 2181860 2400046 2727325 2821940 3527425 3817396 4337950 4771745 4800092 5454650 6000115 7054850 8675900 9543490 10909300 11018393 12000230 14109700 19086980 22036786 23858725 24000460 30000575 44073572 47717450 55091965 60001150 95434900 110183930 120002300 121202323 220367860 242404646 275459825 484809292 550919650 606011615 1101839300 1212023230 2424046460 3030058075 6060116150 12120232300