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121221200102202 = 23210166678327889
BaseRepresentation
bin11011100100000000000010…
…100100100100001100111010
3120220012122002212012220220100
4123210000002210210030322
5111342042004211232302
61105452130041140230
734350641225606304
oct3344000244441472
9526178085186810
10121221200102202
1135696693255922
121171959278a676
135284157c1b145
1421d11ccdd8974
15e03395617d1c
hex6e400292433a

121221200102202 has 24 divisors (see below), whose sum is σ = 265246388346420. Its totient is φ = 40006996732800.

The previous prime is 121221200102143. The next prime is 121221200102209. The reversal of 121221200102202 is 202201002122121.

It is a happy number.

121221200102202 is a `hidden beast` number, since 1 + 21 + 221 + 200 + 1 + 0 + 220 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 119889163270881 + 1332036831321 = 10949391^2 + 1154139^2 .

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

It is not an unprimeable number, because it can be changed into a prime (121221200102209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33339162127 + ... + 33339165762.

Almost surely, 2121221200102202 is an apocalyptic number.

121221200102202 is an abundant number, since it is smaller than the sum of its proper divisors (144025188244218).

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

121221200102202 is a wasteful number, since it uses less digits than its factorization.

121221200102202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66678327998 (or 66678327995 counting only the distinct ones).

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

Adding to 121221200102202 its reverse (202201002122121), we get a palindrome (323422202224323).

The spelling of 121221200102202 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred million, one hundred two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1818 66678327889 133356655778 200034983667 400069967334 600104951001 1200209902002 6734511116789 13469022233578 20203533350367 40407066700734 60610600051101 121221200102202