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20211200112000 = 27353421066669
BaseRepresentation
bin1001001100001110010010…
…11001110011010110000000
32122120011122021201211110010
410212013021121303112000
510122120014212041000
6110552521441304520
74154132244243432
oct446071131632600
978504567654403
1020211200112000
116492581616147
122325096035140
13b37ba5b23801
144dc327a20652
15250b16726d50
hex1261c9673580

20211200112000 has 128 divisors (see below), whose sum is σ = 67000128530400. Its totient is φ = 5389653350400.

The previous prime is 20211200111987. The next prime is 20211200112031. The reversal of 20211200112000 is 21100211202.

It is a tau number, because it is divible by the number of its divisors (128).

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

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 15 ways as a sum of consecutive naturals, for example, 210485335 + ... + 210581334.

Almost surely, 220211200112000 is an apocalyptic number.

20211200112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20211200112000 is an abundant number, since it is smaller than the sum of its proper divisors (46788928418400).

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

20211200112000 is an equidigital number, since it uses as much as digits as its factorization.

20211200112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421066701 (or 421066679 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20211200112000 its reverse (21100211202), we get a palindrome (20232300323202).

The spelling of 20211200112000 in words is "twenty trillion, two hundred eleven billion, two hundred million, one hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 421066669 842133338 1263200007 1684266676 2105333345 2526400014 3368533352 4210666690 5052800028 6316000035 6737066704 8421333380 10105600056 10526666725 12632000070 13474133408 16842666760 20211200112 21053333450 25264000140 26948266816 31580000175 33685333520 40422400224 42106666900 50528000280 52633333625 53896533632 63160000350 67370667040 80844800448 84213333800 101056000560 105266667250 126320000700 134741334080 157900000875 161689600896 168426667600 202112001120 210533334500 252640001400 269482668160 315800001750 336853335200 404224002240 421066669000 505280002800 631600003500 673706670400 808448004480 842133338000 1010560005600 1263200007000 1347413340800 1684266676000 2021120011200 2526400014000 3368533352000 4042240022400 5052800028000 6737066704000 10105600056000 20211200112000