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12201642 = 2325571217
BaseRepresentation
bin101110100010…
…111010101010
3211221220111200
4232202322222
511110423032
61113305030
7205466205
oct56427252
924856450
1012201642
116984302
124105176
1326b2a0b
14189893c
15111047c
hexba2eaa

12201642 has 24 divisors (see below), whose sum is σ = 26506116. Its totient is φ = 4056576.

The previous prime is 12201619. The next prime is 12201643. The reversal of 12201642 is 24610221.

12201642 is a `hidden beast` number, since 1 + 2 + 20 + 1 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10949481 + 1252161 = 3309^2 + 1119^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12201643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9418 + ... + 10634.

Almost surely, 212201642 is an apocalyptic number.

12201642 is an abundant number, since it is smaller than the sum of its proper divisors (14304474).

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

12201642 is a wasteful number, since it uses less digits than its factorization.

12201642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12201642 is about 3493.0848830225. The cubic root of 12201642 is about 230.2180792327.

Adding to 12201642 its reverse (24610221), we get a palindrome (36811863).

The spelling of 12201642 in words is "twelve million, two hundred one thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 557 1114 1217 1671 2434 3342 3651 5013 7302 10026 10953 21906 677869 1355738 2033607 4067214 6100821 12201642