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12223223012 = 227112131911453
BaseRepresentation
bin10110110001000111…
…11001010011100100
31011112212011001202102
423120203321103210
5200013121114022
65340522031232
7611621452460
oct133043712344
934485131672
1012223223012
115202766400
122451648518
1311ca490250
1483d5274a0
154b8165a92
hex2d88f94e4

12223223012 has 144 divisors (see below), whose sum is σ = 29109405696. Its totient is φ = 4369939200.

The previous prime is 12223222987. The next prime is 12223223059. The reversal of 12223223012 is 21032232221.

It is a happy number.

12223223012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8411678 + ... + 8413130.

Almost surely, 212223223012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12223223012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14554702848).

12223223012 is an abundant number, since it is smaller than the sum of its proper divisors (16886182684).

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

12223223012 is a wasteful number, since it uses less digits than its factorization.

12223223012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12223223012 its reverse (21032232221), we get a palindrome (33255455233).

The spelling of 12223223012 in words is "twelve billion, two hundred twenty-three million, two hundred twenty-three thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 143 154 182 191 242 286 308 364 382 484 572 764 847 1001 1337 1453 1573 1694 2002 2101 2483 2674 2906 3146 3388 4004 4202 4966 5348 5812 6292 8404 9932 10171 11011 14707 15983 17381 18889 20342 22022 23111 27313 29414 31966 34762 37778 40684 44044 46222 54626 58828 63932 69524 75556 92444 109252 111881 132223 161777 175813 191191 207779 223762 264446 277523 300443 323554 351626 382382 415558 447524 528892 555046 600886 647108 703252 764764 831116 1110092 1201772 1230691 1454453 1942661 2103101 2285569 2461382 2908906 3052753 3607799 3885322 4206202 4571138 4922764 5817812 6105506 7215598 7770644 8412404 9142276 12211012 14431196 15998983 21369271 25254593 31997966 33580283 39685789 42738542 50509186 63995932 67160566 79371578 85477084 101018372 134321132 158743156 235061981 277800523 436543679 470123962 555601046 873087358 940247924 1111202092 1746174716 3055805753 6111611506 12223223012