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12320322120 = 2332536793251
BaseRepresentation
bin10110111100101100…
…10011001001001000
31011210121212012200200
423132112103021020
5200213000301440
65354311132200
7614211003321
oct133626231110
934717765620
1012320322120
1152525563a7
12247a074060
131214629542
1484c3a1448
154c1945c30
hex2de593248

12320322120 has 96 divisors (see below), whose sum is σ = 40150581120. Its totient is φ = 3276432000.

The previous prime is 12320322103. The next prime is 12320322143. The reversal of 12320322120 is 2122302321.

12320322120 is a `hidden beast` number, since 1 + 2 + 320 + 322 + 1 + 20 = 666.

It is a super-2 number, since 2×123203221202 (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 junction number, because it is equal to n+sod(n) for n = 12320322093 and 12320322102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85495 + ... + 178745.

It is an arithmetic number, because the mean of its divisors is an integer number (418235220).

Almost surely, 212320322120 is an apocalyptic number.

12320322120 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 12320322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20075290560).

12320322120 is an abundant number, since it is smaller than the sum of its proper divisors (27830259000).

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

12320322120 is a wasteful number, since it uses less digits than its factorization.

12320322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93635 (or 93628 counting only the distinct ones).

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

Adding to 12320322120 its reverse (2122302321), we get a palindrome (14442624441).

The spelling of 12320322120 in words is "twelve billion, three hundred twenty million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 367 734 1101 1468 1835 2202 2936 3303 3670 4404 5505 6606 7340 8808 11010 13212 14680 16515 22020 26424 33030 44040 66060 93251 132120 186502 279753 373004 466255 559506 746008 839259 932510 1119012 1398765 1678518 1865020 2238024 2797530 3357036 3730040 4196295 5595060 6714072 8392590 11190120 16785180 33570360 34223117 68446234 102669351 136892468 171115585 205338702 273784936 308008053 342231170 410677404 513346755 616016106 684462340 821354808 1026693510 1232032212 1368924680 1540040265 2053387020 2464064424 3080080530 4106774040 6160161060 12320322120