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12223230012 = 2232748504881
BaseRepresentation
bin10110110001000111…
…11011000000111100
31011112212011102100200
423120203323000330
5200013121330022
65340522123500
7611621512050
oct133043730074
934485142320
1012223230012
115202770694
122451650590
1311ca4934a6
1483d529c60
154b8167bac
hex2d88fb03c

12223230012 has 36 divisors (see below), whose sum is σ = 35311554096. Its totient is φ = 3492351360.

The previous prime is 12223229933. The next prime is 12223230013. The reversal of 12223230012 is 21003232221.

12223230012 is a `hidden beast` number, since 122 + 232 + 300 + 12 = 666.

12223230012 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 (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223230013) 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 11 ways as a sum of consecutive naturals, for example, 24252189 + ... + 24252692.

Almost surely, 212223230012 is an apocalyptic number.

12223230012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12223230012 is an abundant number, since it is smaller than the sum of its proper divisors (23088324084).

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

12223230012 is a wasteful number, since it uses less digits than its factorization.

12223230012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48504898 (or 48504893 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12223230012 its reverse (21003232221), we get a palindrome (33226462233).

The spelling of 12223230012 in words is "twelve billion, two hundred twenty-three million, two hundred thirty thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 48504881 97009762 145514643 194019524 291029286 339534167 436543929 582058572 679068334 873087858 1018602501 1358136668 1746175716 2037205002 3055807503 4074410004 6111615006 12223230012