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1200222210220 = 22511273101137491
BaseRepresentation
bin10001011101110010110…
…100011000100010101100
311020201222112211120002121
4101131302310120202230
5124131023341211340
62315212515202324
7152466424313155
oct21356264304254
94221875746077
101200222210220
11423014169a00
1217473bba63a4
138924664a447
144213bc4c92c
152134948094a
hex11772d188ac

1200222210220 has 288 divisors, whose sum is σ = 2862707738688. Its totient is φ = 422231040000.

The previous prime is 1200222210199. The next prime is 1200222210227. The reversal of 1200222210220 is 220122220021.

It is a junction number, because it is equal to n+sod(n) for n = 1200222210194 and 1200222210203.

It is not an unprimeable number, because it can be changed into a prime (1200222210227) 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 95 ways as a sum of consecutive naturals, for example, 2444444175 + ... + 2444444665.

It is an arithmetic number, because the mean of its divisors is an integer number (9939957426).

Almost surely, 21200222210220 is an apocalyptic number.

1200222210220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200222210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431353869344).

1200222210220 is an abundant number, since it is smaller than the sum of its proper divisors (1662485528468).

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

1200222210220 is a wasteful number, since it uses less digits than its factorization.

1200222210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1200222210220 its reverse (220122220021), we get a palindrome (1420344430241).

It can be divided in two parts, 12002 and 22210220, that added together give a palindrome (22222222).

The spelling of 1200222210220 in words is "one trillion, two hundred billion, two hundred twenty-two million, two hundred ten thousand, two hundred twenty".