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12111323000 = 235379717837
BaseRepresentation
bin10110100011110010…
…00001111101111000
31011021001120221210112
423101321001331320
5144300444314000
65321443403452
7606062355410
oct132171017570
934231527715
1012111323000
115155587257
122420083588
1311b024111a
1482c719640
154ad410235
hex2d1e41f78

12111323000 has 128 divisors (see below), whose sum is σ = 32724881280. Its totient is φ = 4109414400.

The previous prime is 12111322967. The next prime is 12111323023. The reversal of 12111323000 is 32311121.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 670082 + ... + 687918.

It is an arithmetic number, because the mean of its divisors is an integer number (255663135).

Almost surely, 212111323000 is an apocalyptic number.

12111323000 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 12111323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16362440640).

12111323000 is an abundant number, since it is smaller than the sum of its proper divisors (20613558280).

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

12111323000 is a wasteful number, since it uses less digits than its factorization.

12111323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17962 (or 17948 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12111323000 its reverse (32311121), we get a palindrome (12143634121).

The spelling of 12111323000 in words is "twelve billion, one hundred eleven million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 97 100 125 140 175 194 200 250 280 350 388 485 500 679 700 776 875 970 1000 1358 1400 1750 1940 2425 2716 3395 3500 3880 4850 5432 6790 7000 9700 12125 13580 16975 17837 19400 24250 27160 33950 35674 48500 67900 71348 84875 89185 97000 124859 135800 142696 169750 178370 249718 339500 356740 445925 499436 624295 679000 713480 891850 998872 1248590 1730189 1783700 2229625 2497180 3121475 3460378 3567400 4459250 4994360 6242950 6920756 8650945 8918500 12111323 12485900 13841512 15607375 17301890 17837000 24222646 24971800 31214750 34603780 43254725 48445292 60556615 62429500 69207560 86509450 96890584 121113230 124859000 173018900 216273625 242226460 302783075 346037800 432547250 484452920 605566150 865094500 1211132300 1513915375 1730189000 2422264600 3027830750 6055661500 12111323000