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12110110320 = 24357113121139
BaseRepresentation
bin10110100011101000…
…11001111001110000
31011020222022100022110
423101310121321300
5144300142012240
65321401405320
7606046145040
oct132164317160
934228270273
1012110110320
115154929140
12241b799840
1311acc08169
1482c4c1720
154ad270c80
hex2d1d19e70

12110110320 has 320 divisors, whose sum is σ = 48316907520. Its totient is φ = 2435097600.

The previous prime is 12110110303. The next prime is 12110110367. The reversal of 12110110320 is 2301101121.

12110110320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12110110296 and 12110110305.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 562311 + ... + 583449.

It is an arithmetic number, because the mean of its divisors is an integer number (150990336).

Almost surely, 212110110320 is an apocalyptic number.

12110110320 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 12110110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24158453760).

12110110320 is an abundant number, since it is smaller than the sum of its proper divisors (36206797200).

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

12110110320 is a wasteful number, since it uses less digits than its factorization.

12110110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21204 (or 21198 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 12110110320 its reverse (2301101121), we get a palindrome (14411211441).

The spelling of 12110110320 in words is "twelve billion, one hundred ten million, one hundred ten thousand, three hundred twenty".