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12320200020 = 22351991111863
BaseRepresentation
bin10110111100101011…
…10101010101010100
31011210121122000012110
423132111311111110
5200212432400040
65354304351020
7614206654332
oct133625652524
934717560173
1012320200020
115252482697
12247a015470
1312145b5aab
1484c36cb52
154c191e980
hex2de575554

12320200020 has 96 divisors (see below), whose sum is σ = 36355092480. Its totient is φ = 3108792960.

The previous prime is 12320199989. The next prime is 12320200031. The reversal of 12320200020 is 2000202321.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12320199969 and 12320200005.

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 31 ways as a sum of consecutive naturals, for example, 1032609 + ... + 1044471.

It is an arithmetic number, because the mean of its divisors is an integer number (378698880).

Almost surely, 212320200020 is an apocalyptic number.

12320200020 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 12320200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18177546240).

12320200020 is an abundant number, since it is smaller than the sum of its proper divisors (24034892460).

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

12320200020 is a wasteful number, since it uses less digits than its factorization.

12320200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12805 (or 12803 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 12320200020 its reverse (2000202321), we get a palindrome (14320402341).

The spelling of 12320200020 in words is "twelve billion, three hundred twenty million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 911 1140 1822 2733 3644 4555 5466 9110 10932 11863 13665 17309 18220 23726 27330 34618 35589 47452 51927 54660 59315 69236 71178 86545 103854 118630 142356 173090 177945 207708 225397 237260 259635 346180 355890 450794 519270 676191 711780 901588 1038540 1126985 1352382 2253970 2704764 3380955 4507940 6761910 10807193 13523820 21614386 32421579 43228772 54035965 64843158 108071930 129686316 162107895 205336667 216143860 324215790 410673334 616010001 648431580 821346668 1026683335 1232020002 2053366670 2464040004 3080050005 4106733340 6160100010 12320200020