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12120110321 = 112100166201
BaseRepresentation
bin10110100100110101…
…00011010011110001
31011021200010101201212
423102122203103301
5144310222012241
65322400005505
7606230144414
oct132232432361
934250111655
1012120110321
11515a539300
122423000895
1311b1cc9a17
1482d965b7b
154ae098beb
hex2d26a34f1

12120110321 has 6 divisors (see below), whose sum is σ = 13322104866. Its totient is φ = 11018282000.

The previous prime is 12120110311. The next prime is 12120110351. The reversal of 12120110321 is 12301102121.

12120110321 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 only one way, i.e., 10920250000 + 1199860321 = 104500^2 + 34639^2 .

It is not a de Polignac number, because 12120110321 - 26 = 12120110257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12120110296 and 12120110305.

It is not an unprimeable number, because it can be changed into a prime (12120110311) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 50082980 + ... + 50083221.

It is an arithmetic number, because the mean of its divisors is an integer number (2220350811).

Almost surely, 212120110321 is an apocalyptic number.

12120110321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12120110321 is a deficient number, since it is larger than the sum of its proper divisors (1201994545).

12120110321 is a wasteful number, since it uses less digits than its factorization.

12120110321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100166223 (or 100166212 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12120110321 its reverse (12301102121), we get a palindrome (24421212442).

The spelling of 12120110321 in words is "twelve billion, one hundred twenty million, one hundred ten thousand, three hundred twenty-one".

Divisors: 1 11 121 100166201 1101828211 12120110321