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12128935 = 5713192361
BaseRepresentation
bin101110010001…
…001010100111
3211211012202211
4232101022213
511101111220
61111544251
7205044220
oct56211247
924735684
1012128935
116934715
12408b087
1326888b0
14187a247
1510e8b5a
hexb912a7

12128935 has 64 divisors (see below), whose sum is σ = 19998720. Its totient is φ = 6842880.

The previous prime is 12128929. The next prime is 12128947. The reversal of 12128935 is 53982121.

12128935 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12128935 - 25 = 12128903 is a prime.

It is a super-2 number, since 2×121289352 = 294222128468450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12128897 and 12128906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198805 + ... + 198865.

It is an arithmetic number, because the mean of its divisors is an integer number (312480).

It is a vampire number, since it can be written as 12359821 (with its own digits).

Almost surely, 212128935 is an apocalyptic number.

12128935 is a deficient number, since it is larger than the sum of its proper divisors (7869785).

12128935 is a wasteful number, since it uses less digits than its factorization.

12128935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128.

The product of its digits is 4320, while the sum is 31.

The square root of 12128935 is about 3482.6620565309. The cubic root of 12128935 is about 229.7598943595.

The spelling of 12128935 in words is "twelve million, one hundred twenty-eight thousand, nine hundred thirty-five".

Divisors: 1 5 7 13 19 23 35 61 65 91 95 115 133 161 247 299 305 427 437 455 665 793 805 1159 1235 1403 1495 1729 2093 2135 2185 3059 3965 5551 5681 5795 7015 8113 8645 9821 10465 15067 15295 18239 26657 27755 28405 39767 40565 49105 75335 91195 105469 127673 133285 186599 198835 346541 527345 638365 932995 1732705 2425787 12128935