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12330320200 = 23521118313061
BaseRepresentation
bin10110111101111000…
…11100000101001000
31011211022200011110221
423132330130011020
5200223030221300
65355305315424
7614361664252
oct133674340510
934738604427
1012330320200
115258165080
122481495b74
13121671a273
1484d844cd2
154c276d31a
hex2def1c148

12330320200 has 96 divisors (see below), whose sum is σ = 31301478720. Its totient is φ = 4479840000.

The previous prime is 12330320131. The next prime is 12330320207. The reversal of 12330320200 is 202303321.

12330320200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12330320207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4026670 + ... + 4029730.

It is an arithmetic number, because the mean of its divisors is an integer number (326057070).

Almost surely, 212330320200 is an apocalyptic number.

12330320200 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 12330320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15650739360).

12330320200 is an abundant number, since it is smaller than the sum of its proper divisors (18971158520).

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

12330320200 is a wasteful number, since it uses less digits than its factorization.

12330320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4919 (or 4910 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 12330320200 its reverse (202303321), we get a palindrome (12532623521).

The spelling of 12330320200 in words is "twelve billion, three hundred thirty million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1831 2200 3061 3662 6122 7324 9155 12244 14648 15305 18310 20141 24488 30610 33671 36620 40282 45775 61220 67342 73240 76525 80564 91550 100705 122440 134684 153050 161128 168355 183100 201410 269368 306100 336710 366200 402820 503525 612200 673420 805640 841775 1007050 1346840 1683550 2014100 3367100 4028200 5604691 6734200 11209382 22418764 28023455 44837528 56046910 61651601 112093820 123303202 140117275 224187640 246606404 280234550 308258005 493212808 560469100 616516010 1120938200 1233032020 1541290025 2466064040 3082580050 6165160100 12330320200