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12042224235 = 34532999013
BaseRepresentation
bin10110011011100010…
…11100001001101011
31011002020120101010000
423031301130021223
5144130302133420
65310534354043
7604263134316
oct131561341153
934066511100
1012042224235
11511a581338
122400abb923
13119bb29892
1482348d97d
154a7311690
hex2cdc5c26b

12042224235 has 40 divisors (see below), whose sum is σ = 21595741200. Its totient is φ = 6419860416.

The previous prime is 12042224221. The next prime is 12042224291. The reversal of 12042224235 is 53242224021.

12042224235 is a `hidden beast` number, since 1 + 2 + 0 + 422 + 2 + 4 + 235 = 666.

It is not a de Polignac number, because 12042224235 - 29 = 12042223723 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12042224199 and 12042224208.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1331589 + ... + 1340601.

It is an arithmetic number, because the mean of its divisors is an integer number (539893530).

Almost surely, 212042224235 is an apocalyptic number.

12042224235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12042224235 is a deficient number, since it is larger than the sum of its proper divisors (9553516965).

12042224235 is an equidigital number, since it uses as much as digits as its factorization.

12042224235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12329 (or 12320 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 12042224235 its reverse (53242224021), we get a palindrome (65284448256).

The spelling of 12042224235 in words is "twelve billion, forty-two million, two hundred twenty-four thousand, two hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 3299 9013 9897 16495 27039 29691 45065 49485 81117 89073 135195 148455 243351 267219 405585 445365 730053 1216755 1336095 3650265 29733887 89201661 148669435 267604983 446008305 802814949 1338024915 2408444847 4014074745 12042224235