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12333334304 = 254310982231
BaseRepresentation
bin10110111110001111…
…11011111100100000
31011211112100022001102
423133013323330200
5200224313144204
65355454053532
7614426416604
oct133707737440
934745308042
1012333334304
115259933675
1224824aa2a8
131217234165
1484ddcb504
154c2b6641e
hex2df1fbf20

12333334304 has 48 divisors (see below), whose sum is σ = 25074181440. Its totient is φ = 5967924480.

The previous prime is 12333334303. The next prime is 12333334331. The reversal of 12333334304 is 40343333321.

It is a happy number.

It is a super-2 number, since 2×123333343042 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12333334303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108869 + ... + 191099.

It is an arithmetic number, because the mean of its divisors is an integer number (522378780).

Almost surely, 212333334304 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 12333334304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12537090720).

12333334304 is an abundant number, since it is smaller than the sum of its proper divisors (12740847136).

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

12333334304 is a wasteful number, since it uses less digits than its factorization.

12333334304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82393 (or 82385 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 29.

Adding to 12333334304 its reverse (40343333321), we get a palindrome (52676667625).

The spelling of 12333334304 in words is "twelve billion, three hundred thirty-three million, three hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 43 86 109 172 218 344 436 688 872 1376 1744 3488 4687 9374 18748 37496 74992 82231 149984 164462 328924 657848 1315696 2631392 3535933 7071866 8963179 14143732 17926358 28287464 35852716 56574928 71705432 113149856 143410864 286821728 385416697 770833394 1541666788 3083333576 6166667152 12333334304