Search a number
-
+
12022112121012 = 223274713120113853
BaseRepresentation
bin1010111011110001110110…
…1110001111000010110100
31120120022011122221020101100
42232330131232033002310
53033432241200333022
641322514305330100
72350366100645430
oct256743556170264
946508148836340
1012022112121012
113915604970684
121421b71036930
136928ac83a466
142d7c325c79c0
1515cac92ea1ac
hexaef1db8f0b4

12022112121012 has 288 divisors, whose sum is σ = 35767306358784. Its totient is φ = 3333619411200.

The previous prime is 12022112121007. The next prime is 12022112121083. The reversal of 12022112121012 is 21012121122021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3120193278 + ... + 3120197130.

It is an arithmetic number, because the mean of its divisors is an integer number (124192035968).

Almost surely, 212022112121012 is an apocalyptic number.

12022112121012 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 12022112121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17883653179392).

12022112121012 is an abundant number, since it is smaller than the sum of its proper divisors (23745194237772).

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

12022112121012 is a wasteful number, since it uses less digits than its factorization.

12022112121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6059 (or 6054 counting only the distinct ones).

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

Adding to 12022112121012 its reverse (21012121122021), we get a palindrome (33034233243033).

The spelling of 12022112121012 in words is "twelve trillion, twenty-two billion, one hundred twelve million, one hundred twenty-one thousand, twelve".