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200121220120212 = 223210155038839417
BaseRepresentation
bin101101100000001001011010…
…001111001011111010010100
3222020120101211220200012100100
4231200021122033023322110
5202212241224322321322
61545342230325214100
760103165251324636
oct5540113217137224
9866511756605310
10200121220120212
1158845a29676886
121a5409bb861330
138788472193771
14375bcc1016a56
15182092b206dac
hexb6025a3cbe94

200121220120212 has 36 divisors (see below), whose sum is σ = 510870507477876. Its totient is φ = 66046607299200.

The previous prime is 200121220120193. The next prime is 200121220120259. The reversal of 200121220120212 is 212021022121002.

It is a happy number.

200121220120212 is a `hidden beast` number, since 20 + 0 + 1 + 212 + 201 + 20 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 189002169813636 + 11119050306576 = 13747806^2 + 3334524^2 .

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 (18).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 27519416073 + ... + 27519423344.

It is an arithmetic number, because the mean of its divisors is an integer number (14190847429941).

Almost surely, 2200121220120212 is an apocalyptic number.

It is an amenable number.

200121220120212 is an abundant number, since it is smaller than the sum of its proper divisors (310749287357664).

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

200121220120212 is a wasteful number, since it uses less digits than its factorization.

200121220120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55038839528 (or 55038839523 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200121220120212 its reverse (212021022121002), we get a palindrome (412142242241214).

The spelling of 200121220120212 in words is "two hundred trillion, one hundred twenty-one billion, two hundred twenty million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 55038839417 110077678834 165116518251 220155357668 330233036502 495349554753 660466073004 990699109506 1981398219012 5558922781117 11117845562234 16676768343351 22235691124468 33353536686702 50030305030053 66707073373404 100060610060106 200121220120212