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12000322000 = 245347127663
BaseRepresentation
bin10110010110100011…
…00110000111010000
31010222022201112001101
423023101212013100
5144034040301000
65302440314144
7603244024342
oct131321460720
933868645041
1012000322000
1150a8961597
1223aaa72954
131193248264
1481baa3292
154a37d5e6a
hex2cb4661d0

12000322000 has 80 divisors (see below), whose sum is σ = 29634388992. Its totient is φ = 4697961600.

The previous prime is 12000321989. The next prime is 12000322027. The reversal of 12000322000 is 22300021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30169 + ... + 157831.

Almost surely, 212000322000 is an apocalyptic number.

12000322000 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 12000322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817194496).

12000322000 is an abundant number, since it is smaller than the sum of its proper divisors (17634066992).

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

12000322000 is a wasteful number, since it uses less digits than its factorization.

12000322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127733 (or 127717 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 12000322000 its reverse (22300021), we get a palindrome (12022622021).

The spelling of 12000322000 in words is "twelve billion, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 125 188 200 235 250 376 400 470 500 752 940 1000 1175 1880 2000 2350 3760 4700 5875 9400 11750 18800 23500 47000 94000 127663 255326 510652 638315 1021304 1276630 2042608 2553260 3191575 5106520 6000161 6383150 10213040 12000322 12766300 15957875 24000644 25532600 30000805 31915750 48001288 51065200 60001610 63831500 96002576 120003220 127663000 150004025 240006440 255326000 300008050 480012880 600016100 750020125 1200032200 1500040250 2400064400 3000080500 6000161000 12000322000