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12120103133 = 79212131601
BaseRepresentation
bin10110100100110101…
…00001100011011101
31011021200010000212122
423102122201203131
5144310221300013
65322355512325
7606230114435
oct132232414335
934250100778
1012120103133
11515a533966
122422bb86a5
1311b1cc6678
1482d9632c5
154ae096a08
hex2d26a18dd

12120103133 has 12 divisors (see below), whose sum is σ = 12293257788. Its totient is φ = 11949350400.

The previous prime is 12120103049. The next prime is 12120103217. The reversal of 12120103133 is 33130102121.

12120103133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12120103049) and next prime (12120103217).

It can be written as a sum of positive squares in 2 ways, for example, as 6985950724 + 5134152409 = 83582^2 + 71653^2 .

It is not a de Polignac number, because 12120103133 - 28 = 12120102877 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120106133) 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 11 ways as a sum of consecutive naturals, for example, 7569533 + ... + 7571133.

It is an arithmetic number, because the mean of its divisors is an integer number (1024438149).

Almost surely, 212120103133 is an apocalyptic number.

It is an amenable number.

12120103133 is a deficient number, since it is larger than the sum of its proper divisors (173154655).

12120103133 is an equidigital number, since it uses as much as digits as its factorization.

12120103133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12120103133 its reverse (33130102121), we get a palindrome (45250205254).

The spelling of 12120103133 in words is "twelve billion, one hundred twenty million, one hundred three thousand, one hundred thirty-three".

Divisors: 1 79 1213 1601 6241 95827 126479 1942013 7570333 9991841 153419027 12120103133