Search a number
-
+
212101212000012 = 22317675101000001
BaseRepresentation
bin110000001110011110101001…
…011001011100111100001100
31000210222200022010221111001220
4300032132221121130330030
5210300031240233000022
62031033541320003340
762450543521203336
oct6016365131347414
91023880263844056
10212101212000012
1161644689785855
121b956776900550
13914709b5c466a
143a53a795d8456
15197c38c80585c
hexc0e7a965cf0c

212101212000012 has 12 divisors (see below), whose sum is σ = 494902828000056. Its totient is φ = 70700404000000.

The previous prime is 212101212000011. The next prime is 212101212000017. The reversal of 212101212000012 is 210000212101212.

212101212000012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 212101211999955 and 212101212000000.

It is not an unprimeable number, because it can be changed into a prime (212101212000011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8837550499989 + ... + 8837550500012.

It is an arithmetic number, because the mean of its divisors is an integer number (41241902333338).

Almost surely, 2212101212000012 is an apocalyptic number.

It is an amenable number.

212101212000012 is an abundant number, since it is smaller than the sum of its proper divisors (282801616000044).

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

212101212000012 is a wasteful number, since it uses less digits than its factorization.

212101212000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17675101000008 (or 17675101000006 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212101212000012 its reverse (210000212101212), we get a palindrome (422101424101224).

The spelling of 212101212000012 in words is "two hundred twelve trillion, one hundred one billion, two hundred twelve million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 17675101000001 35350202000002 53025303000003 70700404000004 106050606000006 212101212000012