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12200221011 = 3113728333527
BaseRepresentation
bin10110101110011000…
…01001100101010011
31011111020212102221110
423113030021211103
5144441224033021
65334341024403
7611222111316
oct132714114523
934436772843
1012200221011
1151a0785690
1224459b5103
1311c57985b4
1483a45a97d
154b6120476
hex2d7309953

12200221011 has 32 divisors (see below), whose sum is σ = 18236994048. Its totient is φ = 7189655040.

The previous prime is 12200221001. The next prime is 12200221021. The reversal of 12200221011 is 11012200221.

12200221011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12200221001) and next prime (12200221021).

It is not a de Polignac number, because 12200221011 - 25 = 12200220979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12200221001) 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 31 ways as a sum of consecutive naturals, for example, 3457330 + ... + 3460856.

It is an arithmetic number, because the mean of its divisors is an integer number (569906064).

Almost surely, 212200221011 is an apocalyptic number.

12200221011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12200221011 is a deficient number, since it is larger than the sum of its proper divisors (6036773037).

12200221011 is a wasteful number, since it uses less digits than its factorization.

12200221011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6411.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12200221011 its reverse (11012200221), we get a palindrome (23212421232).

The spelling of 12200221011 in words is "twelve billion, two hundred million, two hundred twenty-one thousand, eleven".

Divisors: 1 3 11 33 37 111 407 1221 2833 3527 8499 10581 31163 38797 93489 104821 116391 130499 314463 391497 1153031 1435489 3459093 4306467 9991991 29975973 109911901 329735703 369703667 1109111001 4066740337 12200221011