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12332423200 = 2552101152629
BaseRepresentation
bin10110111110001000…
…11101100000100000
31011211110122000020211
423133010131200200
5200224100020300
65355422343504
7614415603406
oct133704354040
934743560224
1012332423200
115259371099
12248212ab94
131216ca5546
1484dc31476
154c2a364ba
hex2df11d820

12332423200 has 72 divisors (see below), whose sum is σ = 30404811780. Its totient is φ = 4884096000.

The previous prime is 12332423189. The next prime is 12332423261. The reversal of 12332423200 is 232423321.

It can be written as a sum of positive squares in 6 ways, for example, as 11252117776 + 1080305424 = 106076^2 + 32868^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4486 + ... + 157114.

Almost surely, 212332423200 is an apocalyptic number.

12332423200 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 12332423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15202405890).

12332423200 is an abundant number, since it is smaller than the sum of its proper divisors (18072388580).

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

12332423200 is a wasteful number, since it uses less digits than its factorization.

12332423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152750 (or 152737 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 12332423200 its reverse (232423321), we get a palindrome (12564846521).

The spelling of 12332423200 in words is "twelve billion, three hundred thirty-two million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 160 200 202 400 404 505 800 808 1010 1616 2020 2525 3232 4040 5050 8080 10100 16160 20200 40400 80800 152629 305258 610516 763145 1221032 1526290 2442064 3052580 3815725 4884128 6105160 7631450 12210320 15262900 15415529 24420640 30525800 30831058 61051600 61662116 77077645 122103200 123324232 154155290 246648464 308310580 385388225 493296928 616621160 770776450 1233242320 1541552900 2466484640 3083105800 6166211600 12332423200