Search a number
-
+
12203224000 = 2653111011373
BaseRepresentation
bin10110101110101111…
…00110101111000000
31011111110112000021021
423113113212233000
5144443011132000
65334525235224
7611256456352
oct132727465700
934443460237
1012203224000
1151a24468a0
122446a02b14
1311c62aa406
1483a9dd0d2
154b651511a
hex2d75e6bc0

12203224000 has 224 divisors, whose sum is σ = 33319346112. Its totient is φ = 4390400000.

The previous prime is 12203223973. The next prime is 12203224013. The reversal of 12203224000 is 42230221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8887314 + ... + 8888686.

Almost surely, 212203224000 is an apocalyptic number.

12203224000 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 12203224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16659673056).

12203224000 is an abundant number, since it is smaller than the sum of its proper divisors (21116122112).

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

12203224000 is a wasteful number, since it uses less digits than its factorization.

12203224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 12203224000 its reverse (42230221), we get a palindrome (12245454221).

The spelling of 12203224000 in words is "twelve billion, two hundred three million, two hundred twenty-four thousand".