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1200221011011 = 311376730614793
BaseRepresentation
bin10001011101110010101…
…111110011110001000011
311020201222110120122002110
4101131302233303301003
5124131023034323021
62315212433350403
7152466411160011
oct21356257636103
94221873518073
101200221011011
1142301351aa20
1217473b708403
138924631a659
144213ba198b1
15213492e5476
hex11772bf3c43

1200221011011 has 64 divisors (see below), whose sum is σ = 1820694007296. Its totient is φ = 696810470400.

The previous prime is 1200221010971. The next prime is 1200221011039. The reversal of 1200221011011 is 1101101220021.

It is not a de Polignac number, because 1200221011011 - 27 = 1200221010883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1200221011061) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 250408831 + ... + 250413623.

It is an arithmetic number, because the mean of its divisors is an integer number (28448343864).

Almost surely, 21200221011011 is an apocalyptic number.

1200221011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1200221011011 is a deficient number, since it is larger than the sum of its proper divisors (620472996285).

1200221011011 is a wasteful number, since it uses less digits than its factorization.

1200221011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7972.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1200221011011 its reverse (1101101220021), we get a palindrome (2301322231032).

The spelling of 1200221011011 in words is "one trillion, two hundred billion, two hundred twenty-one million, eleven thousand, eleven".

Divisors: 1 3 11 33 37 67 111 201 407 737 1221 2211 2479 3061 4793 7437 9183 14379 27269 33671 52723 81807 101013 113257 158169 177341 205087 321131 339771 532023 615261 963393 1245827 1950751 2255957 3532441 3737481 5852253 6767871 7588219 10597323 11881847 14671373 22764657 35645541 44014119 83470409 130700317 161385103 250411227 392100951 484155309 542840801 982981991 1628522403 2948945973 5971248811 10812801901 17913746433 32438405703 36370333667 109111001001 400073670337 1200221011011