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212012100120020 = 22517623565000353
BaseRepresentation
bin110000001101001011101001…
…111010100110110111010100
31000210200011021210012221120012
4300031023221322212313110
5210242101240112320040
62030525003023055352
762441240324546054
oct6015135172466724
91023604253187505
10212012100120020
116160a910412442
121b941447441558
13913b8697995a5
143a4d624643564
151979dc440a865
hexc0d2e9ea6dd4

212012100120020 has 24 divisors (see below), whose sum is σ = 471415140267624. Its totient is φ = 79816320045056.

The previous prime is 212012100119999. The next prime is 212012100120047. The reversal of 212012100120020 is 20021001210212.

It can be written as a sum of positive squares in 4 ways, for example, as 38125364081476 + 173886736038544 = 6174574^2 + 13186612^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212012100119977 and 212012100120004.

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, 311782499837 + ... + 311782500516.

It is an arithmetic number, because the mean of its divisors is an integer number (19642297511151).

Almost surely, 2212012100120020 is an apocalyptic number.

212012100120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212012100120020 is an abundant number, since it is smaller than the sum of its proper divisors (259403040147604).

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

212012100120020 is a wasteful number, since it uses less digits than its factorization.

212012100120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623565000379 (or 623565000377 counting only the distinct ones).

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

Adding to 212012100120020 its reverse (20021001210212), we get a palindrome (232033101330232).

The spelling of 212012100120020 in words is "two hundred twelve trillion, twelve billion, one hundred million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 623565000353 1247130000706 2494260001412 3117825001765 6235650003530 10600605006001 12471300007060 21201210012002 42402420024004 53003025030005 106006050060010 212012100120020