Search a number
-
+
12201124114214 = 272293805715569
BaseRepresentation
bin1011000110001100101110…
…1010110010111100100110
31121012102020022120201002122
42301203023222302330212
53044400400233123324
641541041413505542
72366334141535310
oct261431352627446
947172208521078
1012201124114214
113984516530712
1214507ab9422b2
136a673a8836a9
143027750b87b0
151625a4de0a5e
hexb18cbab2f26

12201124114214 has 16 divisors (see below), whose sum is σ = 21007549946400. Its totient is φ = 5206218897024.

The previous prime is 12201124114147. The next prime is 12201124114217. The reversal of 12201124114214 is 41241142110221.

It is a happy number.

It is a super-2 number, since 2×122011241142142 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201124114217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1902854579 + ... + 1902860990.

It is an arithmetic number, because the mean of its divisors is an integer number (1312971871650).

Almost surely, 212201124114214 is an apocalyptic number.

12201124114214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12201124114214 is a deficient number, since it is larger than the sum of its proper divisors (8806425832186).

12201124114214 is a wasteful number, since it uses less digits than its factorization.

12201124114214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805715807.

The product of its (nonzero) digits is 1024, while the sum is 26.

Adding to 12201124114214 its reverse (41241142110221), we get a palindrome (53442266224435).

The spelling of 12201124114214 in words is "twelve trillion, two hundred one billion, one hundred twenty-four million, one hundred fourteen thousand, two hundred fourteen".

Divisors: 1 2 7 14 229 458 1603 3206 3805715569 7611431138 26640008983 53280017966 871508865301 1743017730602 6100562057107 12201124114214