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12224000000 = 21256191
BaseRepresentation
bin10110110001001101…
…10111000000000000
31011112220121112120202
423120212313000000
5200013321000000
65340550424332
7611631166652
oct133046670000
934486545522
1012224000000
115203147143
1224519620a8
1311ca6a2ac4
1483d68a6d2
154b826add5
hex2d89b7000

12224000000 has 182 divisors, whose sum is σ = 30715856832. Its totient is φ = 4864000000.

The previous prime is 12223999943. The next prime is 12224000069. The reversal of 12224000000 is 42221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 63999905 + ... + 64000095.

Almost surely, 212224000000 is an apocalyptic number.

12224000000 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 12224000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15357928416).

12224000000 is an abundant number, since it is smaller than the sum of its proper divisors (18491856832).

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

12224000000 is an frugal number, since it uses more digits than its factorization.

12224000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 12224000000 its reverse (42221), we get a palindrome (12224042221).

The spelling of 12224000000 in words is "twelve billion, two hundred twenty-four million", and thus it is an aban number.