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1200221022112 = 25736587146449
BaseRepresentation
bin10001011101110010101…
…111110110011110100000
311020201222110121012022121
4101131302233312132200
5124131023040201422
62315212433514024
7152466411234250
oct21356257663640
94221873535277
101200221022112
114230135282a2
1217473b712914
1389246322718
144213ba1d960
15213492e88c7
hex11772bf67a0

1200221022112 has 48 divisors (see below), whose sum is σ = 2700589550400. Its totient is φ = 514362866688.

The previous prime is 1200221022097. The next prime is 1200221022131. The reversal of 1200221022112 is 2112201220021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 7 ways as a sum of consecutive naturals, for example, 8122264 + ... + 8268712.

It is an arithmetic number, because the mean of its divisors is an integer number (56262282300).

Almost surely, 21200221022112 is an apocalyptic number.

It is an amenable number.

1200221022112 is an abundant number, since it is smaller than the sum of its proper divisors (1500368528288).

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

1200221022112 is a wasteful number, since it uses less digits than its factorization.

1200221022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183053 (or 183045 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1200221022112 its reverse (2112201220021), we get a palindrome (3312422242133).

The spelling of 1200221022112 in words is "one trillion, two hundred billion, two hundred twenty-one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 36587 73174 146348 146449 256109 292696 292898 512218 585392 585796 1024436 1025143 1170784 1171592 2048872 2050286 2343184 4097744 4100572 4686368 8195488 8201144 16402288 32804576 5358129563 10716259126 21432518252 37506906941 42865036504 75013813882 85730073008 150027627764 171460146016 300055255528 600110511056 1200221022112