Search a number
-
+
12022110012220 = 225711414014571039
BaseRepresentation
bin1010111011110001110110…
…0110001100001100111100
31120120022011111222002122221
42232330131212030030330
53033432240130342340
641322514152215124
72350366044013360
oct256743546141474
946508144862587
1012022110012220
113915603760280
121421b7039a4a4
136928ac27c659
142d7c321d92a0
1515cac903044a
hexaef1d98c33c

12022110012220 has 384 divisors, whose sum is σ = 32426097500160. Its totient is φ = 3635159040000.

The previous prime is 12022110012217. The next prime is 12022110012223. The reversal of 12022110012220 is 2221001122021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12022110012217) and next prime (12022110012223).

It is a super-2 number, since 2×120221100122202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12022110012194 and 12022110012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022110012223) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11570846461 + ... + 11570847499.

It is an arithmetic number, because the mean of its divisors is an integer number (84442962240).

Almost surely, 212022110012220 is an apocalyptic number.

12022110012220 is a gapful number since it is divisible by the number (10) 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 12022110012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16213048750080).

12022110012220 is an abundant number, since it is smaller than the sum of its proper divisors (20403987487940).

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

12022110012220 is a wasteful number, since it uses less digits than its factorization.

12022110012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12022110012220 its reverse (2221001122021), we get a palindrome (14243111134241).

The spelling of 12022110012220 in words is "twelve trillion, twenty-two billion, one hundred ten million, twelve thousand, two hundred twenty".