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12333120200 = 2352132146681
BaseRepresentation
bin10110111110001110…
…00111101011001000
31011211111221102100122
423133013013223020
5200224234321300
65355445322412
7614424535442
oct133707075310
934744842318
1012333120200
1152597a7825
122482406408
13121718a87b
1484dd73492
154c2b22c85
hex2df1c7ac8

12333120200 has 48 divisors (see below), whose sum is σ = 28696825860. Its totient is φ = 4929408000.

The previous prime is 12333120199. The next prime is 12333120209. The reversal of 12333120200 is 202133321.

It can be written as a sum of positive squares in 6 ways, for example, as 11234728036 + 1098392164 = 105994^2 + 33142^2 .

It is not an unprimeable number, because it can be changed into a prime (12333120209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240860 + ... + 287540.

Almost surely, 212333120200 is an apocalyptic number.

12333120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12333120200 is an abundant number, since it is smaller than the sum of its proper divisors (16363705660).

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

12333120200 is a wasteful number, since it uses less digits than its factorization.

12333120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48018 (or 48009 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 12333120200 its reverse (202133321), we get a palindrome (12535253521).

The spelling of 12333120200 in words is "twelve billion, three hundred thirty-three million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1321 2642 5284 6605 10568 13210 26420 33025 46681 52840 66050 93362 132100 186724 233405 264200 373448 466810 933620 1167025 1867240 2334050 4668100 9336200 61665601 123331202 246662404 308328005 493324808 616656010 1233312020 1541640025 2466624040 3083280050 6166560100 12333120200