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12321003000 = 233534787383
BaseRepresentation
bin10110111100110001…
…11001010111111000
31011210200010210200110
423132120321113320
5200213134044000
65354333504320
7614216540355
oct133630712770
934720123613
1012321003000
115252980a09
12247a3420a0
131214807427
1484c4db62c
154c1a2c850
hex2de6395f8

12321003000 has 128 divisors (see below), whose sum is σ = 39259883520. Its totient is φ = 3215657600.

The previous prime is 12321002971. The next prime is 12321003031. The reversal of 12321003000 is 30012321.

It is a happy number.

It is a super-2 number, since 2×123210030002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97309 + ... + 184691.

It is an arithmetic number, because the mean of its divisors is an integer number (306717840).

Almost surely, 212321003000 is an apocalyptic number.

12321003000 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 12321003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19629941760).

12321003000 is an abundant number, since it is smaller than the sum of its proper divisors (26938880520).

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

12321003000 is a wasteful number, since it uses less digits than its factorization.

12321003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87454 (or 87440 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12321003000 its reverse (30012321), we get a palindrome (12351015321).

The spelling of 12321003000 in words is "twelve billion, three hundred twenty-one million, three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 47 50 60 75 94 100 120 125 141 150 188 200 235 250 282 300 375 376 470 500 564 600 705 750 940 1000 1128 1175 1410 1500 1880 2350 2820 3000 3525 4700 5640 5875 7050 9400 11750 14100 17625 23500 28200 35250 47000 70500 87383 141000 174766 262149 349532 436915 524298 699064 873830 1048596 1310745 1747660 2097192 2184575 2621490 3495320 4107001 4369150 5242980 6553725 8214002 8738300 10485960 10922875 12321003 13107450 16428004 17476600 20535005 21845750 24642006 26214900 32768625 32856008 41070010 43691500 49284012 52429800 61605015 65537250 82140020 87383000 98568024 102675025 123210030 131074500 164280040 205350050 246420060 262149000 308025075 410700100 492840120 513375125 616050150 821400200 1026750250 1232100300 1540125375 2053500500 2464200600 3080250750 4107001000 6160501500 12321003000