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20012031123200 = 28523323940981
BaseRepresentation
bin1001000110011011010100…
…00000011001111100000000
32121212010112212010220000022
410203031222000121330000
510110334114431420300
6110321222234513012
74133551533622544
oct443155200317400
977763485126008
1020012031123200
116416066946a66
1222b2570895768
13b22184a2484c
144d283205ba24
1524a85b203285
hex12336a019f00

20012031123200 has 108 divisors (see below), whose sum is σ = 49547862645288. Its totient is φ = 8002395033600.

The previous prime is 20012031123197. The next prime is 20012031123229. The reversal of 20012031123200 is 232113021002.

It is a super-3 number, since 3×200120311232003 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20796710 + ... + 21737690.

Almost surely, 220012031123200 is an apocalyptic number.

20012031123200 is a gapful number since it is divisible by the number (20) 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 20012031123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24773931322644).

20012031123200 is an abundant number, since it is smaller than the sum of its proper divisors (29535831522088).

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

20012031123200 is an equidigital number, since it uses as much as digits as its factorization.

20012031123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944330 (or 944311 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 20012031123200 its reverse (232113021002), we get a palindrome (20244144144202).

The spelling of 20012031123200 in words is "twenty trillion, twelve billion, thirty-one million, one hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 3323 6400 6646 13292 16615 26584 33230 53168 66460 83075 106336 132920 166150 212672 265840 332300 425344 531680 664600 850688 940981 1063360 1329200 1881962 2126720 2658400 3763924 4253440 4704905 5316800 7527848 9409810 10633600 15055696 18819620 21267200 23524525 30111392 37639240 47049050 60222784 75278480 94098100 120445568 150556960 188196200 240891136 301113920 376392400 602227840 752784800 1204455680 1505569600 3011139200 3126879863 6022278400 6253759726 12507519452 15634399315 25015038904 31268798630 50030077808 62537597260 78171996575 100060155616 125075194520 156343993150 200120311232 250150389040 312687986300 400240622464 500300778080 625375972600 800481244928 1000601556160 1250751945200 2001203112320 2501503890400 4002406224640 5003007780800 10006015561600 20012031123200