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12320004200 = 2352712896827
BaseRepresentation
bin10110111100101010…
…00101100001101000
31011210121021001120212
423132111011201220
5200212410113300
65354300240252
7614205210410
oct133625054150
934717231525
1012320004200
115252359559
122479b40088
13121454791a
1484c31b640
154c18d1935
hex2de545868

12320004200 has 96 divisors (see below), whose sum is σ = 32766206400. Its totient is φ = 4220106240.

The previous prime is 12320004167. The next prime is 12320004209. The reversal of 12320004200 is 240002321.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (12320004209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1801187 + ... + 1808013.

It is an arithmetic number, because the mean of its divisors is an integer number (341314650).

Almost surely, 212320004200 is an apocalyptic number.

12320004200 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 12320004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16383103200).

12320004200 is an abundant number, since it is smaller than the sum of its proper divisors (20446202200).

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

12320004200 is a wasteful number, since it uses less digits than its factorization.

12320004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8139 (or 8130 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 12320004200 its reverse (240002321), we get a palindrome (12560006521).

The spelling of 12320004200 in words is "twelve billion, three hundred twenty million, four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1289 1400 2578 5156 6445 6827 9023 10312 12890 13654 18046 25780 27308 32225 34135 36092 45115 47789 51560 54616 64450 68270 72184 90230 95578 128900 136540 170675 180460 191156 225575 238945 257800 273080 341350 360920 382312 451150 477890 682700 902300 955780 1194725 1365400 1804600 1911560 2389450 4778900 8800003 9557800 17600006 35200012 44000015 61600021 70400024 88000030 123200042 176000060 220000075 246400084 308000105 352000120 440000150 492800168 616000210 880000300 1232000420 1540000525 1760000600 2464000840 3080001050 6160002100 12320004200