Search a number
-
+
12201221012121 = 331968122961083
BaseRepresentation
bin1011000110001101000101…
…1100011011101010011001
31121012102111001220122001000
42301203101130123222121
53044401100034341441
641541055154415213
72366336426260431
oct261432134335231
947172431818030
1012201221012121
1139845661a3529
121450818291509
136a675497c22b
14302783cdd2c1
151625ad6812b6
hexb18d171ba99

12201221012121 has 16 divisors (see below), whose sum is σ = 18076802211520. Its totient is φ = 8133733687680.

The previous prime is 12201221012089. The next prime is 12201221012143. The reversal of 12201221012121 is 12121012210221.

12201221012121 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 12201221012121 - 25 = 12201221012089 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12201221012094 and 12201221012103.

It is not an unprimeable number, because it can be changed into a prime (12201221012021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10949155 + ... + 12011928.

It is an arithmetic number, because the mean of its divisors is an integer number (1129800138220).

Almost surely, 212201221012121 is an apocalyptic number.

It is an amenable number.

12201221012121 is a deficient number, since it is larger than the sum of its proper divisors (5875581199399).

12201221012121 is a wasteful number, since it uses less digits than its factorization.

12201221012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22980773 (or 22980767 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12201221012121 its reverse (12121012210221), we get a palindrome (24322233222342).

The spelling of 12201221012121 in words is "twelve trillion, two hundred one billion, two hundred twenty-one million, twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 27 19681 59043 177129 531387 22961083 68883249 206649747 619949241 451897074523 1355691223569 4067073670707 12201221012121