Search a number
-
+
12202021211121 = 33765997968071
BaseRepresentation
bin1011000110010000000100…
…1000111100101111110001
31121012111112211121221201000
42301210001020330233301
53044404214412223441
641541310421432213
72366365313663220
oct261440110745761
947174484557630
1012202021211121
11398493695a915
121450a0026b669
136a68516a1871
1430281c2bacb7
15162608a472b6
hexb190123cbf1

12202021211121 has 32 divisors (see below), whose sum is σ = 20690856806400. Its totient is φ = 6962002926480.

The previous prime is 12202021211069. The next prime is 12202021211131. The reversal of 12202021211121 is 12111212020221.

12202021211121 is a `hidden beast` number, since 1 + 220 + 202 + 121 + 1 + 121 = 666.

It is not a de Polignac number, because 12202021211121 - 27 = 12202021210993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12202021211094 and 12202021211103.

It is not an unprimeable number, because it can be changed into a prime (12202021211131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48859485 + ... + 49108586.

It is an arithmetic number, because the mean of its divisors is an integer number (646589275200).

Almost surely, 212202021211121 is an apocalyptic number.

It is an amenable number.

12202021211121 is a deficient number, since it is larger than the sum of its proper divisors (8488835595279).

12202021211121 is an equidigital number, since it uses as much as digits as its factorization.

12202021211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97968746 (or 97968740 counting only the distinct ones).

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

Adding to 12202021211121 its reverse (12111212020221), we get a palindrome (24313233231342).

The spelling of 12202021211121 in words is "twelve trillion, two hundred two billion, twenty-one million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 189 659 1977 4613 5931 13839 17793 41517 124551 97968071 293904213 685776497 881712639 2057329491 2645137917 6171988473 18515965419 64560958789 193682876367 451926711523 581048629101 1355780134569 1743145887303 4067340403707 12202021211121