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12001300010020 = 2252920691896569
BaseRepresentation
bin1010111010100100010100…
…1110010101010000100100
31120111022110020021110021201
42232221011032111100210
53033112130300310040
641305153205452244
72346031254634126
oct256510516252044
946438406243251
1012001300010020
1139077a4a89652
121419b23111084
13690943b2c299
142d6c1a503216
1515c2ac113a9a
hexaea45395424

12001300010020 has 24 divisors (see below), whose sum is σ = 26071789678200. Its totient is φ = 4634984831232.

The previous prime is 12001300010003. The next prime is 12001300010033. The reversal of 12001300010020 is 2001000310021.

It can be written as a sum of positive squares in 4 ways, for example, as 235521913636 + 11765778096384 = 485306^2 + 3430128^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12001300009979 and 12001300010006.

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, 10345947705 + ... + 10345948864.

It is an arithmetic number, because the mean of its divisors is an integer number (1086324569925).

Almost surely, 212001300010020 is an apocalyptic number.

12001300010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001300010020 is an abundant number, since it is smaller than the sum of its proper divisors (14070489668180).

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

12001300010020 is a wasteful number, since it uses less digits than its factorization.

12001300010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20691896607 (or 20691896605 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 12001300010020 its reverse (2001000310021), we get a palindrome (14002300320041).

The spelling of 12001300010020 in words is "twelve trillion, one billion, three hundred million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 20691896569 41383793138 82767586276 103459482845 206918965690 413837931380 600065000501 1200130001002 2400260002004 3000325002505 6000650005010 12001300010020