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1200222112121 = 1724153017689
BaseRepresentation
bin10001011101110010110…
…100000000100101111001
311020201222112122120112022
4101131302310000211321
5124131023330041441
62315212513124225
7152466423424154
oct21356264004571
94221875576468
101200222112121
1142301410222a
1217473bb59675
13892466148b6
144213bc24c9b
152134946184b
hex11772d00979

1200222112121 has 6 divisors (see below), whose sum is σ = 1274976430830. Its totient is φ = 1129620811136.

The previous prime is 1200222112081. The next prime is 1200222112157. The reversal of 1200222112121 is 1212112220021.

It can be written as a sum of positive squares in 3 ways, for example, as 545878634896 + 654343477225 = 738836^2 + 808915^2 .

It is not a de Polignac number, because 1200222112121 - 222 = 1200217917817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1200222112121.

It is not an unprimeable number, because it can be changed into a prime (1200222112171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2076508556 + ... + 2076509133.

It is an arithmetic number, because the mean of its divisors is an integer number (212496071805).

Almost surely, 21200222112121 is an apocalyptic number.

It is an amenable number.

1200222112121 is a deficient number, since it is larger than the sum of its proper divisors (74754318709).

1200222112121 is an equidigital number, since it uses as much as digits as its factorization.

1200222112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153017723 (or 4153017706 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1200222112121 its reverse (1212112220021), we get a palindrome (2412334332142).

The spelling of 1200222112121 in words is "one trillion, two hundred billion, two hundred twenty-two million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 17 289 4153017689 70601300713 1200222112121