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12288088221 = 336371126211
BaseRepresentation
bin10110111000110110…
…10101100010011101
31011201101012120002120
423130123111202131
5200131222310341
65351200213153
7613340012043
oct133433254235
934641176076
1012288088221
11523633a612
12246b30a1b9
13120aa51826
14847db0393
154bdbca066
hex2dc6d589d

12288088221 has 8 divisors (see below), whose sum is σ = 16388637024. Its totient is φ = 8189799120.

The previous prime is 12288088217. The next prime is 12288088237.

12288088221 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12288088221 - 22 = 12288088217 is a prime.

It is a super-2 number, since 2×122880882212 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12288088921) 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 7 ways as a sum of consecutive naturals, for example, 552195 + ... + 574016.

It is an arithmetic number, because the mean of its divisors is an integer number (2048579628).

Almost surely, 212288088221 is an apocalyptic number.

It is an amenable number.

12288088221 is a deficient number, since it is larger than the sum of its proper divisors (4100548803).

12288088221 is a wasteful number, since it uses less digits than its factorization.

12288088221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129851.

The product of its (nonzero) digits is 65536, while the sum is 42.

The spelling of 12288088221 in words is "twelve billion, two hundred eighty-eight million, eighty-eight thousand, two hundred twenty-one".

Divisors: 1 3 3637 10911 1126211 3378633 4096029407 12288088221