Search a number
-
+
12234321120 = 2535731731609
BaseRepresentation
bin10110110010011100…
…01110110011100000
31011120122000220111110
423121032032303200
5200023441233440
65341555543320
7612115004460
oct133116166340
934518026443
1012234321120
115208a5659a
1224552bab40
1311cc877888
14840bb5ba0
154b9109080
hex2d938ece0

12234321120 has 384 divisors, whose sum is σ = 46115758080. Its totient is φ = 2667479040.

The previous prime is 12234321061. The next prime is 12234321131. The reversal of 12234321120 is 2112343221.

12234321120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122343211202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7602876 + ... + 7604484.

It is an arithmetic number, because the mean of its divisors is an integer number (120093120).

Almost surely, 212234321120 is an apocalyptic number.

12234321120 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 12234321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23057879040).

12234321120 is an abundant number, since it is smaller than the sum of its proper divisors (33881436960).

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

12234321120 is a wasteful number, since it uses less digits than its factorization.

12234321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12234321120 its reverse (2112343221), we get a palindrome (14346664341).

The spelling of 12234321120 in words is "twelve billion, two hundred thirty-four million, three hundred twenty-one thousand, one hundred twenty".