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12120110313 = 3376110716729
BaseRepresentation
bin10110100100110101…
…00011010011101001
31011021200010101201120
423102122203103221
5144310222012223
65322400005453
7606230144403
oct132232432351
934250111646
1012120110313
11515a5392a3
122423000889
1311b1cc9a0c
1482d965b73
154ae098be3
hex2d26a34e9

12120110313 has 32 divisors (see below), whose sum is σ = 17027660160. Its totient is φ = 7660085760.

The previous prime is 12120110311. The next prime is 12120110351. The reversal of 12120110313 is 31301102121.

It is a happy number.

12120110313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12120110313 - 21 = 12120110311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12120110292 and 12120110301.

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 31 ways as a sum of consecutive naturals, for example, 716133 + ... + 732861.

It is an arithmetic number, because the mean of its divisors is an integer number (532114380).

Almost surely, 212120110313 is an apocalyptic number.

It is an amenable number.

12120110313 is a deficient number, since it is larger than the sum of its proper divisors (4907549847).

12120110313 is a wasteful number, since it uses less digits than its factorization.

12120110313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16937.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12120110313 its reverse (31301102121), we get a palindrome (43421212434).

The spelling of 12120110313 in words is "twelve billion, one hundred twenty million, one hundred ten thousand, three hundred thirteen".

Divisors: 1 3 37 61 107 111 183 321 2257 3959 6527 6771 11877 16729 19581 50187 241499 618973 724497 1020469 1790003 1856919 3061407 5370009 37757353 66230111 109190183 113272059 198690333 327570549 4040036771 12120110313