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12001122210020 = 2255845310265617
BaseRepresentation
bin1010111010100011101010…
…1000000101000011100100
31120111021222211201021112112
42232220322220011003210
53033111244241210040
641305123414540152
72346023665440566
oct256507250050344
946437884637475
1012001122210020
1139077136898a9
121419a93667658
13690916048898
142d6c00a5d336
1515c29b6e2365
hexaea3aa050e4

12001122210020 has 24 divisors (see below), whose sum is σ = 25202790252024. Its totient is φ = 4800366291456.

The previous prime is 12001122210013. The next prime is 12001122210037. The reversal of 12001122210020 is 2001222110021.

It can be written as a sum of positive squares in 4 ways, for example, as 1773867041956 + 10227255168064 = 1331866^2 + 3198008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12001122209977 and 12001122210004.

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 7 ways as a sum of consecutive naturals, for example, 3963749 + ... + 6301868.

It is an arithmetic number, because the mean of its divisors is an integer number (1050116260501).

Almost surely, 212001122210020 is an apocalyptic number.

12001122210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001122210020 is an abundant number, since it is smaller than the sum of its proper divisors (13201668042004).

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

12001122210020 is a wasteful number, since it uses less digits than its factorization.

12001122210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10324079 (or 10324077 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12001122210020 its reverse (2001222110021), we get a palindrome (14002344320041).

Subtracting from 12001122210020 its reverse (2001222110021), we obtain a palindrome (9999900099999).

The spelling of 12001122210020 in words is "twelve trillion, one billion, one hundred twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 58453 116906 233812 292265 584530 1169060 10265617 20531234 41062468 51328085 102656170 205312340 600056110501 1200112221002 2400224442004 3000280552505 6000561105010 12001122210020