Search a number
-
+
12423224000 = 265311791787
BaseRepresentation
bin10111001000111101…
…10101101011000000
31012001210111011112102
423210132311223000
5200420321132000
65412424445532
7616600442645
oct134436655300
935053434472
1012423224000
1152a564a080
1224a86198a8
13122ca47b25
1485bd09dcc
154ca9c03d5
hex2e47b5ac0

12423224000 has 224 divisors, whose sum is σ = 34006901760. Its totient is φ = 4457856000.

The previous prime is 12423223999. The next prime is 12423224003. The reversal of 12423224000 is 42232421.

12423224000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12423224003) 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 31 ways as a sum of consecutive naturals, for example, 6951107 + ... + 6952893.

Almost surely, 212423224000 is an apocalyptic number.

12423224000 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 12423224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17003450880).

12423224000 is an abundant number, since it is smaller than the sum of its proper divisors (21583677760).

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

12423224000 is a wasteful number, since it uses less digits than its factorization.

12423224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12423224000 its reverse (42232421), we get a palindrome (12465456421).

The spelling of 12423224000 in words is "twelve billion, four hundred twenty-three million, two hundred twenty-four thousand".