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12020120320200 = 2335260133333667
BaseRepresentation
bin1010111011101010011100…
…0000000111100011001000
31120120010000212000021022220
42232322213000013203020
53033414201300221300
641321544514214040
72350265533633116
oct256724700074310
946503025007286
1012020120320200
113914782614203
1214216b5b84320
13692652ca40b5
142d7ac3c64ab6
1515ca0e506da0
hexaeea70078c8

12020120320200 has 96 divisors (see below), whose sum is σ = 37324374732960. Its totient is φ = 3200031936000.

The previous prime is 12020120320163. The next prime is 12020120320207. The reversal of 12020120320200 is 202302102021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12020120320200.

It is not an unprimeable number, because it can be changed into a prime (12020120320207) 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, 16306234 + ... + 17027433.

It is an arithmetic number, because the mean of its divisors is an integer number (388795570135).

Almost surely, 212020120320200 is an apocalyptic number.

12020120320200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020120320200 is an abundant number, since it is smaller than the sum of its proper divisors (25304254412760).

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

12020120320200 is a wasteful number, since it uses less digits than its factorization.

12020120320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33334287 (or 33334278 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12020120320200 its reverse (202302102021), we get a palindrome (12222422422221).

The spelling of 12020120320200 in words is "twelve trillion, twenty billion, one hundred twenty million, three hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 601 1202 1803 2404 3005 3606 4808 6010 7212 9015 12020 14424 15025 18030 24040 30050 36060 45075 60100 72120 90150 120200 180300 360600 33333667 66667334 100001001 133334668 166668335 200002002 266669336 333336670 400004004 500005005 666673340 800008008 833341675 1000010010 1333346680 1666683350 2000020020 2500025025 3333366700 4000040040 5000050050 6666733400 10000100100 20000200200 20033533867 40067067734 60100601601 80134135468 100167669335 120201203202 160268270936 200335338670 240402406404 300503008005 400670677340 480804812808 500838346675 601006016010 801341354680 1001676693350 1202012032020 1502515040025 2003353386700 2404024064040 3005030080050 4006706773400 6010060160100 12020120320200