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12321230000 = 24542942487
BaseRepresentation
bin10110111100110011…
…10000110010110000
31011210200120100001212
423132121300302300
5200213213330000
65354342415252
7614221504232
oct133631606260
934720510055
1012321230000
115253016512
12247a431528
131214886851
1484c55a252
154c1a74c35
hex2de670cb0

12321230000 has 100 divisors (see below), whose sum is σ = 30860309040. Its totient is φ = 4758432000.

The previous prime is 12321229979. The next prime is 12321230003. The reversal of 12321230000 is 3212321.

It is a happy number.

12321230000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (12321230003) 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 19 ways as a sum of consecutive naturals, for example, 268757 + ... + 311243.

Almost surely, 212321230000 is an apocalyptic number.

12321230000 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 12321230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15430154520).

12321230000 is an abundant number, since it is smaller than the sum of its proper divisors (18539079040).

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

12321230000 is an equidigital number, since it uses as much as digits as its factorization.

12321230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42544 (or 42523 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12321230000 its reverse (3212321), we get a palindrome (12324442321).

The spelling of 12321230000 in words is "twelve billion, three hundred twenty-one million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 625 725 1000 1160 1250 1450 2000 2320 2500 2900 3625 5000 5800 7250 10000 11600 14500 18125 29000 36250 42487 58000 72500 84974 145000 169948 212435 290000 339896 424870 679792 849740 1062175 1232123 1699480 2124350 2464246 3398960 4248700 4928492 5310875 6160615 8497400 9856984 10621750 12321230 16994800 19713968 21243500 24642460 26554375 30803075 42487000 49284920 53108750 61606150 84974000 98569840 106217500 123212300 154015375 212435000 246424600 308030750 424870000 492849200 616061500 770076875 1232123000 1540153750 2464246000 3080307500 6160615000 12321230000