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12110110000 = 24542941759
BaseRepresentation
bin10110100011101000…
…11001110100110000
31011020222022022212121
423101310121310300
5144300142010000
65321401404024
7606046144102
oct132164316460
934228268777
1012110110000
11515492897a
12241b799614
1311acc07c81
1482c4c1572
154ad270b1a
hex2d1d19d30

12110110000 has 100 divisors (see below), whose sum is σ = 30331540800. Its totient is φ = 4676896000.

The previous prime is 12110109997. The next prime is 12110110003. The reversal of 12110110000 is 1101121.

It is an interprime number because it is at equal distance from previous prime (12110109997) and next prime (12110110003).

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (12110110003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 269121 + ... + 310879.

It is an arithmetic number, because the mean of its divisors is an integer number (303315408).

Almost surely, 212110110000 is an apocalyptic number.

12110110000 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 12110110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15165770400).

12110110000 is an abundant number, since it is smaller than the sum of its proper divisors (18221430800).

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

12110110000 is an equidigital number, since it uses as much as digits as its factorization.

12110110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41816 (or 41795 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 12110110000 its reverse (1101121), we get a palindrome (12111211121).

The spelling of 12110110000 in words is "twelve billion, one hundred ten million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 625 725 1000 1160 1250 1450 2000 2320 2500 2900 3625 5000 5800 7250 10000 11600 14500 18125 29000 36250 41759 58000 72500 83518 145000 167036 208795 290000 334072 417590 668144 835180 1043975 1211011 1670360 2087950 2422022 3340720 4175900 4844044 5219875 6055055 8351800 9688088 10439750 12110110 16703600 19376176 20879500 24220220 26099375 30275275 41759000 48440440 52198750 60550550 83518000 96880880 104397500 121101100 151376375 208795000 242202200 302752750 417590000 484404400 605505500 756881875 1211011000 1513763750 2422022000 3027527500 6055055000 12110110000