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12220032320128 = 27293292034569
BaseRepresentation
bin1011000111010011001010…
…1011111000001010000000
31121021020001001201002102101
42301310302223320022000
53100203111233221003
641553445542200144
72400603535614133
oct261646253701200
947236031632371
1012220032320128
11399153973a676
1214543a8123054
136a8461cc1709
1430364a39a21a
15162d0ed9711d
hexb1d32af8280

12220032320128 has 32 divisors (see below), whose sum is σ = 25184064460500. Its totient is φ = 5899325945856.

The previous prime is 12220032320011. The next prime is 12220032320129. The reversal of 12220032320128 is 82102323002221.

It can be written as a sum of positive squares in 2 ways, for example, as 12079850969664 + 140181350464 = 3475608^2 + 374408^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 12220032320096 and 12220032320105.

It is not an unprimeable number, because it can be changed into a prime (12220032320129) 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 3 ways as a sum of consecutive naturals, for example, 1646013573 + ... + 1646020996.

Almost surely, 212220032320128 is an apocalyptic number.

It is an amenable number.

12220032320128 is an abundant number, since it is smaller than the sum of its proper divisors (12964032140372).

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

12220032320128 is an equidigital number, since it uses as much as digits as its factorization.

12220032320128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292034612 (or 3292034600 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 12220032320128 its reverse (82102323002221), we get a palindrome (94322355322349).

The spelling of 12220032320128 in words is "twelve trillion, two hundred twenty billion, thirty-two million, three hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 3292034569 6584069138 13168138276 26336276552 52672553104 95469002501 105345106208 190938005002 210690212416 381876010004 421380424832 763752020008 1527504040016 3055008080032 6110016160064 12220032320128