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12110110120 = 2352113143281
BaseRepresentation
bin10110100011101000…
…11001110110101000
31011020222022100001001
423101310121312220
5144300142010440
65321401404344
7606046144333
oct132164316650
934228270031
1012110110120
115154928a79
12241b7996b4
1311acc08044
1482c4c161a
154ad270b9a
hex2d1d19da8

12110110120 has 32 divisors (see below), whose sum is σ = 27260833320. Its totient is φ = 4841717760.

The previous prime is 12110110109. The next prime is 12110110139. The reversal of 12110110120 is 2101101121.

12110110120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6231207844 + 5878902276 = 78938^2 + 76674^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12110110097 and 12110110106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12880 + ... + 156160.

Almost surely, 212110110120 is an apocalyptic number.

12110110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12110110120 is an abundant number, since it is smaller than the sum of its proper divisors (15150723200).

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

12110110120 is a wasteful number, since it uses less digits than its factorization.

12110110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145405 (or 145401 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12110110120 its reverse (2101101121), we get a palindrome (14211211241).

It can be divided in two parts, 121101101 and 20, that added together give a palindrome (121101121).

The spelling of 12110110120 in words is "twelve billion, one hundred ten million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2113 4226 8452 10565 16904 21130 42260 84520 143281 286562 573124 716405 1146248 1432810 2865620 5731240 302752753 605505506 1211011012 1513763765 2422022024 3027527530 6055055060 12110110120