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12321150000 = 2435582141
BaseRepresentation
bin10110111100110010…
…11101010000110000
31011210200102021022220
423132121131100300
5200213203300000
65354341001040
7614221022055
oct133631352060
934720367286
1012321150000
115252a713a5
12247a3b3180
131214859303
1484c53902c
154c1a5b1a0
hex2de65d430

12321150000 has 120 divisors (see below), whose sum is σ = 39784984848. Its totient is φ = 3285600000.

The previous prime is 12321149999. The next prime is 12321150011. The reversal of 12321150000 is 5112321.

12321150000 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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, 108930 + ... + 191070.

Almost surely, 212321150000 is an apocalyptic number.

12321150000 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 12321150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19892492424).

12321150000 is an abundant number, since it is smaller than the sum of its proper divisors (27463834848).

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

12321150000 is an frugal number, since it uses more digits than its factorization.

12321150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82177 (or 82151 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 12321150000 its reverse (5112321), we get a palindrome (12326262321).

The spelling of 12321150000 in words is "twelve billion, three hundred twenty-one million, one hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3125 3750 5000 6000 6250 7500 9375 10000 12500 15000 18750 25000 30000 37500 50000 75000 82141 150000 164282 246423 328564 410705 492846 657128 821410 985692 1232115 1314256 1642820 1971384 2053525 2464230 3285640 3942768 4107050 4928460 6160575 6571280 8214100 9856920 10267625 12321150 16428200 19713840 20535250 24642300 30802875 32856400 41070500 49284600 51338125 61605750 82141000 98569200 102676250 123211500 154014375 164282000 205352500 246423000 256690625 308028750 410705000 492846000 513381250 616057500 770071875 821410000 1026762500 1232115000 1540143750 2053525000 2464230000 3080287500 4107050000 6160575000 12321150000