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12322330120 = 2353172713669
BaseRepresentation
bin10110111100111011…
…11101011000001000
31011210202122020011001
423132131331120020
5200214004030440
65354422144344
7614234035462
oct133635753010
934722566131
1012322330120
1152536a8001
12247a8820b4
131214b804c9
1484c765132
154c1be0b9a
hex2de77d608

12322330120 has 64 divisors (see below), whose sum is σ = 28661068800. Its totient is φ = 4763024640.

The previous prime is 12322330087. The next prime is 12322330219. The reversal of 12322330120 is 2103322321.

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 15 ways as a sum of consecutive naturals, for example, 894646 + ... + 908314.

It is an arithmetic number, because the mean of its divisors is an integer number (447829200).

Almost surely, 212322330120 is an apocalyptic number.

12322330120 is a gapful number since it is divisible by the number (10) 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 12322330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14330534400).

12322330120 is an abundant number, since it is smaller than the sum of its proper divisors (16338738680).

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

12322330120 is a wasteful number, since it uses less digits than its factorization.

12322330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14438 (or 14434 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12322330120 its reverse (2103322321), we get a palindrome (14425652441).

The spelling of 12322330120 in words is "twelve billion, three hundred twenty-two million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 727 1240 1454 2908 3635 5816 7270 13669 14540 22537 27338 29080 45074 54676 68345 90148 109352 112685 136690 180296 225370 273380 423739 450740 546760 847478 901480 1694956 2118695 3389912 4237390 8474780 9937363 16949560 19874726 39749452 49686815 79498904 99373630 198747260 308058253 397494520 616116506 1232233012 1540291265 2464466024 3080582530 6161165060 12322330120