Search a number
-
+
12022141022112 = 25313137509138143
BaseRepresentation
bin1010111011110001111101…
…1100011110111110100000
31120120022020200022120020110
42232330133130132332200
53033432321100201422
641322521221011320
72350366601416254
oct256743734367640
946508220276213
1012022141022112
11391561a210491
121421b7a853b40
136928b58191c0
142d7c3638c264
1515cacbb0860c
hexaef1f71efa0

12022141022112 has 192 divisors, whose sum is σ = 34301243612160. Its totient is φ = 3664878526464.

The previous prime is 12022141022077. The next prime is 12022141022113. The reversal of 12022141022112 is 21122014122021.

It is not an unprimeable number, because it can be changed into a prime (12022141022113) 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, 86957713 + ... + 87095855.

It is an arithmetic number, because the mean of its divisors is an integer number (178652310480).

Almost surely, 212022141022112 is an apocalyptic number.

12022141022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12022141022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17150621806080).

12022141022112 is an abundant number, since it is smaller than the sum of its proper divisors (22279102590048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12022141022112 is a wasteful number, since it uses less digits than its factorization.

12022141022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138815 (or 138807 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 12022141022112 its reverse (21122014122021), we get a palindrome (33144155144133).

The spelling of 12022141022112 in words is "twelve trillion, twenty-two billion, one hundred forty-one million, twenty-two thousand, one hundred twelve".