Search a number
-
+
12110506121 = 7171947113963
BaseRepresentation
bin10110100011101011…
…11010100010001001
31011021000001110020202
423101311322202021
5144300242143441
65321414101545
7606052414010
oct132165724211
934230043222
1012110506121
11515507954a
12241b94a8b5
1311b001636c
1482c585a77
154ad2ed19b
hex2d1d7a889

12110506121 has 32 divisors (see below), whose sum is σ = 15754383360. Its totient is φ = 9058611456.

The previous prime is 12110506117. The next prime is 12110506129. The reversal of 12110506121 is 12160501121.

12110506121 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 12110506121 - 22 = 12110506117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12110506093 and 12110506102.

It is not an unprimeable number, because it can be changed into a prime (12110506129) 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, 49286 + ... + 163248.

It is an arithmetic number, because the mean of its divisors is an integer number (492324480).

Almost surely, 212110506121 is an apocalyptic number.

It is an amenable number.

12110506121 is a deficient number, since it is larger than the sum of its proper divisors (3643877239).

12110506121 is a wasteful number, since it uses less digits than its factorization.

12110506121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114053.

The product of its (nonzero) digits is 120, while the sum is 20.

Subtracting 12110506121 from its reverse (12160501121), we obtain a triangular number (49995000 = T9999).

The spelling of 12110506121 in words is "twelve billion, one hundred ten million, five hundred six thousand, one hundred twenty-one".

Divisors: 1 7 17 19 47 119 133 323 329 799 893 2261 5593 6251 15181 106267 113963 797741 1937371 2165297 5356261 13561597 15157079 36810049 37493827 91056437 101768959 257670343 637395059 712382713 1730072303 12110506121