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12330012312 = 23323713733371
BaseRepresentation
bin10110111101110110…
…10000111010011000
31011211022002112010200
423132323100322120
5200222440343222
65355254542200
7614356242522
oct133673207230
934738075120
1012330012312
115257a74822
122481367960
131216640097
1484d7a4a12
154c270beac
hex2deed0e98

12330012312 has 96 divisors (see below), whose sum is σ = 34331478480. Its totient is φ = 3994824960.

The previous prime is 12330012283. The next prime is 12330012391. The reversal of 12330012312 is 21321003321.

12330012312 is a `hidden beast` number, since 12 + 330 + 0 + 12 + 312 = 666.

It is a super-2 number, since 2×123300123122 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3655987 + ... + 3659357.

Almost surely, 212330012312 is an apocalyptic number.

12330012312 is a gapful number since it is divisible by the number (12) 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 12330012312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17165739240).

12330012312 is an abundant number, since it is smaller than the sum of its proper divisors (22001466168).

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

12330012312 is a wasteful number, since it uses less digits than its factorization.

12330012312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4793 (or 4786 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12330012312 its reverse (21321003321), we get a palindrome (33651015633).

The spelling of 12330012312 in words is "twelve billion, three hundred thirty million, twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 1373 2664 2746 3371 4119 5492 6742 8238 10113 10984 12357 13484 16476 20226 24714 26968 30339 32952 40452 49428 50801 60678 80904 98856 101602 121356 124727 152403 203204 242712 249454 304806 374181 406408 457209 498908 609612 748362 914418 997816 1122543 1219224 1496724 1828836 2245086 2993448 3657672 4490172 4628383 8980344 9256766 13885149 18513532 27770298 37027064 41655447 55540596 83310894 111081192 166621788 171250171 333243576 342500342 513750513 685000684 1027501026 1370001368 1541251539 2055002052 3082503078 4110004104 6165006156 12330012312