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12321231303200 = 2552115741133069
BaseRepresentation
bin1011001101001100001010…
…0111010111001000100000
31121121220020210110002020112
42303103002213113020200
53103332340203200300
642112143455430452
72411115412024121
oct263230247271040
947556223402215
1012321231303200
113a2044a947476
12146bb2b525428
136b4b6c02a7a1
143084ca764048
151657844bae35
hexb34c29d7220

12321231303200 has 72 divisors (see below), whose sum is σ = 30079691846820. Its totient is φ = 4928412902400.

The previous prime is 12321231303191. The next prime is 12321231303217. The reversal of 12321231303200 is 230313212321.

It can be written as a sum of positive squares in 6 ways, for example, as 3286229337616 + 9035001965584 = 1812796^2 + 3005828^2 .

It is an unprimeable number.

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, 92526266 + ... + 92659334.

Almost surely, 212321231303200 is an apocalyptic number.

12321231303200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12321231303200 is an abundant number, since it is smaller than the sum of its proper divisors (17758460543620).

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

12321231303200 is a wasteful number, since it uses less digits than its factorization.

12321231303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248830 (or 248817 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 12321231303200 its reverse (230313212321), we get a palindrome (12551544515521).

The spelling of 12321231303200 in words is "twelve trillion, three hundred twenty-one billion, two hundred thirty-one million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 115741 133069 231482 266138 462964 532276 578705 665345 925928 1064552 1157410 1330690 1851856 2129104 2314820 2661380 2893525 3326725 3703712 4258208 4629640 5322760 5787050 6653450 9259280 10645520 11574100 13306900 18518560 21291040 23148200 26613800 46296400 53227600 92592800 106455200 15401539129 30803078258 61606156516 77007695645 123212313032 154015391290 246424626064 308030782580 385038478225 492849252128 616061565160 770076956450 1232123130320 1540153912900 2464246260640 3080307825800 6160615651600 12321231303200