Search a number
-
+
212122422121212 = 223254710772010061
BaseRepresentation
bin110000001110110010011001…
…100111101001001011111100
31000211001201001022112021112100
4300032302121213221023330
5210300403210030334322
62031051410114305100
762452224236231361
oct6016623147511374
91024051038467470
10212122422121212
11616526832a3839
121b95a8b5b88190
13914909b8c8535
143a54acc4c6468
15197cbce90adac
hexc0ec999e92fc

212122422121212 has 36 divisors (see below), whose sum is σ = 537178597771816. Its totient is φ = 70578209913120.

The previous prime is 212122422121157. The next prime is 212122422121213. The reversal of 212122422121212 is 212121224221212.

212122422121212 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 2 + 2 + 422 + 1 + 21 + 212 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212122422121213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5385985339 + ... + 5386024722.

Almost surely, 2212122422121212 is an apocalyptic number.

It is an amenable number.

212122422121212 is an abundant number, since it is smaller than the sum of its proper divisors (325056175650604).

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

212122422121212 is a wasteful number, since it uses less digits than its factorization.

212122422121212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10772010618 (or 10772010613 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

Adding to 212122422121212 its reverse (212121224221212), we get a palindrome (424243646342424).

The spelling of 212122422121212 in words is "two hundred twelve trillion, one hundred twenty-two billion, four hundred twenty-two million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 547 1094 1641 2188 3282 4923 6564 9846 19692 10772010061 21544020122 32316030183 43088040244 64632060366 96948090549 129264120732 193896181098 387792362196 5892289503367 11784579006734 17676868510101 23569158013468 35353737020202 53030605530303 70707474040404 106061211060606 212122422121212