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12110300000 = 2555347349
BaseRepresentation
bin10110100011101010…
…01000001101100000
31011020222122222111122
423101311020031200
5144300214100000
65321405431412
7606050565041
oct132165101540
934228588448
1012110300000
115154a486a7
12241b86b568
1311acc735b6
1482c5308c8
154ad2ac085
hex2d1d48360

12110300000 has 144 divisors (see below), whose sum is σ = 29972300400. Its totient is φ = 4816320000.

The previous prime is 12110299951. The next prime is 12110300003. The reversal of 12110300000 is 301121.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110300003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34699826 + ... + 34700174.

It is an arithmetic number, because the mean of its divisors is an integer number (208140975).

Almost surely, 212110300000 is an apocalyptic number.

12110300000 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 12110300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14986150200).

12110300000 is an abundant number, since it is smaller than the sum of its proper divisors (17862000400).

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

12110300000 is an frugal number, since it uses more digits than its factorization.

12110300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 12110300000 its reverse (301121), we get a palindrome (12110601121).

The spelling of 12110300000 in words is "twelve billion, one hundred ten million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 347 349 400 500 625 694 698 800 1000 1250 1388 1396 1735 1745 2000 2500 2776 2792 3125 3470 3490 4000 5000 5552 5584 6250 6940 6980 8675 8725 10000 11104 11168 12500 13880 13960 17350 17450 20000 25000 27760 27920 34700 34900 43375 43625 50000 55520 55840 69400 69800 86750 87250 100000 121103 138800 139600 173500 174500 216875 218125 242206 277600 279200 347000 349000 433750 436250 484412 605515 694000 698000 867500 872500 968824 1084375 1090625 1211030 1388000 1396000 1735000 1745000 1937648 2168750 2181250 2422060 3027575 3470000 3490000 3875296 4337500 4362500 4844120 6055150 6940000 6980000 8675000 8725000 9688240 12110300 15137875 17350000 17450000 19376480 24220600 30275750 34700000 34900000 48441200 60551500 75689375 96882400 121103000 151378750 242206000 302757500 378446875 484412000 605515000 756893750 1211030000 1513787500 2422060000 3027575000 6055150000 12110300000