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20212110012000 = 253531684342501
BaseRepresentation
bin1001001100001111111111…
…01000110010111001100000
32122120020222200212112121010
410212013333220302321200
510122123400130341000
6110553152023500520
74154163633254214
oct446077750627140
978506880775533
1020212110012000
1164929a919a515
1223252aa8b7740
13b37cbc4a538a
144dc3b27d6944
15250b6b55bd50
hex1261ffa32e60

20212110012000 has 96 divisors (see below), whose sum is σ = 66214872438624. Its totient is φ = 5389896000000.

The previous prime is 20212110011983. The next prime is 20212110012043. The reversal of 20212110012000 is 21001121202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×202121100120002 (a number of 27 digits) contains 22 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842159251 + ... + 842183250.

It is an arithmetic number, because the mean of its divisors is an integer number (689738254569).

Almost surely, 220212110012000 is an apocalyptic number.

20212110012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212110012000 is an abundant number, since it is smaller than the sum of its proper divisors (46002762426624).

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

20212110012000 is a wasteful number, since it uses less digits than its factorization.

20212110012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684342529 (or 1684342511 counting only the distinct ones).

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

Adding to 20212110012000 its reverse (21001121202), we get a palindrome (20233111133202).

The spelling of 20212110012000 in words is "twenty trillion, two hundred twelve billion, one hundred ten million, twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 1684342501 3368685002 5053027503 6737370004 8421712505 10106055006 13474740008 16843425010 20212110012 25265137515 26949480016 33686850020 40424220024 42108562525 50530275030 53898960032 67373700040 80848440048 84217125050 101060550060 126325687575 134747400080 161696880096 168434250100 202121100120 210542812625 252651375150 269494800160 336868500200 404242200240 421085625250 505302750300 631628437875 673737000400 808484400480 842171250500 1010605500600 1263256875750 1347474000800 1684342501000 2021211001200 2526513751500 3368685002000 4042422002400 5053027503000 6737370004000 10106055006000 20212110012000