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12000020002000 = 24536000010001
BaseRepresentation
bin1010111010011111100011…
…1011011111010011010000
31120111012011000201022101021
42232213320323133103100
53033102020110031000
641304422202445224
72345654453020252
oct256477073372320
946435130638337
1012000020002000
1139071a84a6688
121419826503814
1369079b8a3ba4
142d6b38507cd2
1515c234a7211a
hexae9f8edf4d0

12000020002000 has 40 divisors (see below), whose sum is σ = 29016048369672. Its totient is φ = 4800008000000.

The previous prime is 12000020001979. The next prime is 12000020002073. The reversal of 12000020002000 is 20002000021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 210328635456 + 11789691366544 = 458616^2 + 3433612^2 .

It is a tau number, because it is divible by the number of its divisors (40).

12000020002000 is a modest number, since divided by 20002000 gives 120000 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3000003001 + ... + 3000007000.

Almost surely, 212000020002000 is an apocalyptic number.

12000020002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000020002000 is an abundant number, since it is smaller than the sum of its proper divisors (17016028367672).

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

12000020002000 is an equidigital number, since it uses as much as digits as its factorization.

12000020002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6000010024 (or 6000010008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 12000020002000 its reverse (20002000021), we get a palindrome (12020022002021).

The spelling of 12000020002000 in words is "twelve trillion, twenty million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6000010001 12000020002 24000040004 30000050005 48000080008 60000100010 96000160016 120000200020 150000250025 240000400040 300000500050 480000800080 600001000100 750001250125 1200002000200 1500002500250 2400004000400 3000005000500 6000010001000 12000020002000