Search a number
-
+
12202123102001 = 72249022920449
BaseRepresentation
bin1011000110010000011100…
…1101101000011100110001
31121012111210221100112201022
42301210013031220130301
53044404422003231001
641541324501345225
72366400662022200
oct261440715503461
947174727315638
1012202123102001
113984989422a58
121450a2a408215
136a6869827c21
1430282ba41237
1516261297211b
hexb1907368731

12202123102001 has 6 divisors (see below), whose sum is σ = 14194306465650. Its totient is φ = 10458962658816.

The previous prime is 12202123101937. The next prime is 12202123102007. The reversal of 12202123102001 is 10020132120221.

It can be written as a sum of positive squares in only one way, i.e., 11758034142001 + 444088960000 = 3428999^2 + 666400^2 .

It is not a de Polignac number, because 12202123102001 - 26 = 12202123101937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12202123102007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 124511460176 + ... + 124511460273.

It is an arithmetic number, because the mean of its divisors is an integer number (2365717744275).

Almost surely, 212202123102001 is an apocalyptic number.

It is an amenable number.

12202123102001 is a deficient number, since it is larger than the sum of its proper divisors (1992183363649).

12202123102001 is an equidigital number, since it uses as much as digits as its factorization.

12202123102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249022920463 (or 249022920456 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12202123102001 its reverse (10020132120221), we get a palindrome (22222255222222).

The spelling of 12202123102001 in words is "twelve trillion, two hundred two billion, one hundred twenty-three million, one hundred two thousand, one".

Divisors: 1 7 49 249022920449 1743160443143 12202123102001