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12312223003000 = 2353191783363439
BaseRepresentation
bin1011001100101010100110…
…1011011011000101111000
31121121000222222202000111101
42303022221223123011320
53103210413042044000
642104053540341144
72410346235523204
oct263125153330570
947530888660441
1012312223003000
113a176479a7178
12146a2366a47b4
136b406493253b
14307cb41cbb04
151654086eee6a
hexb32a9adb178

12312223003000 has 128 divisors (see below), whose sum is σ = 30344041728000. Its totient is φ = 4663054915200.

The previous prime is 12312223002953. The next prime is 12312223003027. The reversal of 12312223003000 is 30032221321.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33695281 + ... + 34058719.

It is an arithmetic number, because the mean of its divisors is an integer number (237062826000).

Almost surely, 212312223003000 is an apocalyptic number.

12312223003000 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 12312223003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15172020864000).

12312223003000 is an abundant number, since it is smaller than the sum of its proper divisors (18031818725000).

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

12312223003000 is a wasteful number, since it uses less digits than its factorization.

12312223003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365262 (or 365248 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12312223003000 its reverse (30032221321), we get a palindrome (12342255224321).

The spelling of 12312223003000 in words is "twelve trillion, three hundred twelve billion, two hundred twenty-three million, three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1783 1900 2375 3566 3800 4750 7132 8915 9500 14264 17830 19000 33877 35660 44575 67754 71320 89150 135508 169385 178300 222875 271016 338770 356600 363439 445750 677540 726878 846925 891500 1355080 1453756 1693850 1783000 1817195 2907512 3387700 3634390 4234625 6775400 6905341 7268780 8469250 9085975 13810682 14537560 16938500 18171950 27621364 33877000 34526705 36343900 45429875 55242728 69053410 72687800 90859750 138106820 172633525 181719500 276213640 345267050 363439000 648011737 690534100 863167625 1296023474 1381068200 1726335250 2592046948 3240058685 3452670500 5184093896 6480117370 6905341000 12312223003 12960234740 16200293425 24624446006 25920469480 32400586850 49248892012 61561115015 64801173700 81001467125 98497784024 123122230030 129602347400 162002934250 246244460060 307805575075 324005868500 492488920120 615611150150 648011737000 1231222300300 1539027875375 2462444600600 3078055750750 6156111501500 12312223003000