Search a number
-
+
12022201200001 = 192966135939187
BaseRepresentation
bin1010111011110010001100…
…0010000010110110000001
31120120022101212112220210011
42232330203002002312001
53033432432001400001
641322531210504521
72350401232054066
oct256744302026601
946508355486704
1012022201200001
113915650182a83
121421b96a35141
136928c5129115
142d7c40374c6d
1515cad2043d51
hexaef23082d81

12022201200001 has 32 divisors (see below), whose sum is σ = 13116208118400. Its totient is φ = 10975826695680.

The previous prime is 12022201199959. The next prime is 12022201200073. The reversal of 12022201200001 is 10000210222021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12022201200001 - 237 = 11884762246529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12022201200901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1308605530 + ... + 1308614716.

It is an arithmetic number, because the mean of its divisors is an integer number (409881503700).

Almost surely, 212022201200001 is an apocalyptic number.

It is an amenable number.

12022201200001 is a deficient number, since it is larger than the sum of its proper divisors (1094006918399).

12022201200001 is a wasteful number, since it uses less digits than its factorization.

12022201200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13489.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12022201200001 its reverse (10000210222021), we get a palindrome (22022411422022).

The spelling of 12022201200001 in words is "twelve trillion, twenty-two billion, two hundred one million, two hundred thousand, one".

Divisors: 1 19 29 551 661 3593 9187 12559 19169 68267 104197 174553 266423 364211 1979743 2374973 5062037 6072607 33008891 45124487 68874217 115379533 176105603 627168929 957257839 1308610123 3346006457 18187898941 21818876951 414558662069 632747431579 12022201200001