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212000001012 = 223241143631437
BaseRepresentation
bin1100010101110000101…
…1110100101111110100
3202021012122101220020100
43011130023310233310
511433134000013022
6241220315434100
721213362163462
oct3053413645764
9667178356210
10212000001012
11819aa523608
1235106455930
1316cb74842a7
14a391add832
1557abbe51ac
hex315c2f4bf4

212000001012 has 36 divisors (see below), whose sum is σ = 548959356036. Its totient is φ = 68943089280.

The previous prime is 212000000977. The next prime is 212000001061. The reversal of 212000001012 is 210100000212.

It can be written as a sum of positive squares in 2 ways, for example, as 68893650576 + 143106350436 = 262476^2 + 378294^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 212000000985 and 212000001003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71814243 + ... + 71817194.

It is an arithmetic number, because the mean of its divisors is an integer number (15248871001).

Almost surely, 2212000001012 is an apocalyptic number.

It is an amenable number.

212000001012 is an abundant number, since it is smaller than the sum of its proper divisors (336959355024).

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

212000001012 is a wasteful number, since it uses less digits than its factorization.

212000001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143631488 (or 143631483 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 212000001012 its reverse (210100000212), we get a palindrome (422100001224).

The spelling of 212000001012 in words is "two hundred twelve billion, one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 143631437 287262874 430894311 574525748 861788622 1292682933 1723577244 2585365866 5170731732 5888888917 11777777834 17666666751 23555555668 35333333502 53000000253 70666667004 106000000506 212000001012