Search a number
-
+
12230220000 = 253541031979
BaseRepresentation
bin10110110001111101…
…00101100011100000
31011120100022112211010
423120332211203200
5200021414020000
65341332020520
7612035104035
oct133076454340
934510275733
1012230220000
115206705339
122453a61740
1311cba6cc8b
1484042938c
154b8a98d50
hex2d8fa58e0

12230220000 has 240 divisors, whose sum is σ = 40527527040. Its totient is φ = 3228096000.

The previous prime is 12230219983. The next prime is 12230220001. The reversal of 12230220000 is 2203221.

12230220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12230220001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6179011 + ... + 6180989.

It is an arithmetic number, because the mean of its divisors is an integer number (168864696).

Almost surely, 212230220000 is an apocalyptic number.

12230220000 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 12230220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20263763520).

12230220000 is an abundant number, since it is smaller than the sum of its proper divisors (28297307040).

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

12230220000 is a wasteful number, since it uses less digits than its factorization.

12230220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 12230220000 its reverse (2203221), we get a palindrome (12232423221).

The spelling of 12230220000 in words is "twelve billion, two hundred thirty million, two hundred twenty thousand".