Search a number
-
+
12200010121 = 13272189409
BaseRepresentation
bin10110101110010110…
…10110000110001001
31011111020110201122201
423113023112012021
5144441200310441
65334332320201
7611220242425
oct132713260611
934436421581
1012200010121
1151a06511a2
122445913061
1311c5723600
1483a403b85
154b60ccc31
hex2d72d6189

12200010121 has 6 divisors (see below), whose sum is σ = 13210662030. Its totient is φ = 11261547648.

The previous prime is 12200010107. The next prime is 12200010127. The reversal of 12200010121 is 12101000221.

12200010121 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 3 ways, for example, as 1008697600 + 11191312521 = 31760^2 + 105789^2 .

It is not a de Polignac number, because 12200010121 - 25 = 12200010089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12200010098 and 12200010107.

It is not an unprimeable number, because it can be changed into a prime (12200010127) 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, 36094536 + ... + 36094873.

It is an arithmetic number, because the mean of its divisors is an integer number (2201777005).

Almost surely, 212200010121 is an apocalyptic number.

It is an amenable number.

12200010121 is a deficient number, since it is larger than the sum of its proper divisors (1010651909).

12200010121 is an equidigital number, since it uses as much as digits as its factorization.

12200010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72189435 (or 72189422 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12200010121 its reverse (12101000221), we get a palindrome (24301010342).

The spelling of 12200010121 in words is "twelve billion, two hundred million, ten thousand, one hundred twenty-one".

Divisors: 1 13 169 72189409 938462317 12200010121