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12312332000 = 25533123203
BaseRepresentation
bin10110111011101111…
…10100011011100000
31011210001211021022022
423131313310123200
5200203424111000
65353424001012
7614053044443
oct133567643340
934701737268
1012312332000
115248a992a1
122477460168
131212a8c767
1484b2c165a
154c0db8585
hex2dddf46e0

12312332000 has 144 divisors (see below), whose sum is σ = 31268489616. Its totient is φ = 4764576000.

The previous prime is 12312331981. The next prime is 12312332057. The reversal of 12312332000 is 23321321.

It is a self number, because there is not a number n which added to its sum of digits gives 12312332000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3842399 + ... + 3845601.

It is an arithmetic number, because the mean of its divisors is an integer number (217142289).

Almost surely, 212312332000 is an apocalyptic number.

12312332000 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 12312332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15634244808).

12312332000 is an abundant number, since it is smaller than the sum of its proper divisors (18956157616).

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

12312332000 is an equidigital number, since it uses as much as digits as its factorization.

12312332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3290 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 12312332000 its reverse (23321321), we get a palindrome (12335653321).

The spelling of 12312332000 in words is "twelve billion, three hundred twelve million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 775 800 961 992 1000 1240 1550 1922 2000 2480 3100 3203 3844 3875 4000 4805 4960 6200 6406 7688 7750 9610 12400 12812 15376 15500 16015 19220 24025 24800 25624 30752 31000 32030 38440 48050 51248 62000 64060 76880 80075 96100 99293 102496 120125 124000 128120 153760 160150 192200 198586 240250 256240 320300 384400 397172 400375 480500 496465 512480 640600 768800 794344 800750 961000 992930 1281200 1588688 1601500 1922000 1985860 2482325 2562400 3078083 3177376 3203000 3844000 3971720 4964650 6156166 6406000 7943440 9929300 12312332 12411625 12812000 15390415 15886880 19858600 24624664 24823250 30780830 39717200 49249328 49646500 61561660 76952075 79434400 98498656 99293000 123123320 153904150 198586000 246246640 307808300 384760375 397172000 492493280 615616600 769520750 1231233200 1539041500 2462466400 3078083000 6156166000 12312332000