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212000121211122 = 232372819112918943
BaseRepresentation
bin110000001101000000011111…
…111010101100100011110010
31000210122000100221210022202200
4300031000133322230203302
5210241402222012223442
62030515302225324030
762440334430524316
oct6015003772544362
91023560327708680
10212000121211122
1161605823656932
121b93b063796616
13913a6aab0aa0a
143a4cc09755b46
15197992295434c
hexc0d01feac8f2

212000121211122 has 48 divisors (see below), whose sum is σ = 471915367522560. Its totient is φ = 68732404968096.

The previous prime is 212000121211093. The next prime is 212000121211141. The reversal of 212000121211122 is 221112121000212.

212000121211122 is a `hidden beast` number, since 212 + 0 + 0 + 0 + 121 + 211 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212000121211095 and 212000121211104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54582018 + ... + 58336925.

It is an arithmetic number, because the mean of its divisors is an integer number (9831570156720).

Almost surely, 2212000121211122 is an apocalyptic number.

212000121211122 is an abundant number, since it is smaller than the sum of its proper divisors (259915246311438).

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

212000121211122 is a wasteful number, since it uses less digits than its factorization.

212000121211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112921807 (or 112921804 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212000121211122 its reverse (221112121000212), we get a palindrome (433112242211334).

The spelling of 212000121211122 in words is "two hundred twelve trillion, one hundred twenty-one million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 2819 5638 8457 16914 25371 50742 104303 208606 312909 625818 938727 1877454 112918943 225837886 338756829 677513658 1016270487 2032540974 4178000891 8356001782 12534002673 25068005346 37602008019 75204016038 318318500317 636637000634 954955500951 1909911001902 2864866502853 5729733005706 11777784511729 23555569023458 35333353535187 70666707070374 106000060605561 212000121211122