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12224132032 = 26727286009
BaseRepresentation
bin10110110001001110…
…10111001111000000
31011112220212020200211
423120213113033000
5200013334211112
65340553323504
7611632256620
oct133047271700
934486766624
1012224132032
115203227362
122451a06594
1311ca71ac28
1483d6c2880
154b82950a7
hex2d89d73c0

12224132032 has 28 divisors (see below), whose sum is σ = 27722586160. Its totient is φ = 5238913536.

The previous prime is 12224131993. The next prime is 12224132033. The reversal of 12224132032 is 23023142221.

12224132032 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 (28).

It is a junction number, because it is equal to n+sod(n) for n = 12224131994 and 12224132012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12224132033) 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 3 ways as a sum of consecutive naturals, for example, 13642557 + ... + 13643452.

Almost surely, 212224132032 is an apocalyptic number.

It is an amenable number.

12224132032 is an abundant number, since it is smaller than the sum of its proper divisors (15498454128).

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

12224132032 is an equidigital number, since it uses as much as digits as its factorization.

12224132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27286028 (or 27286018 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 12224132032 its reverse (23023142221), we get a palindrome (35247274253).

The spelling of 12224132032 in words is "twelve billion, two hundred twenty-four million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 27286009 54572018 109144036 191002063 218288072 382004126 436576144 764008252 873152288 1528016504 1746304576 3056033008 6112066016 12224132032