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12042114 = 2371631759
BaseRepresentation
bin101101111011…
…111110000010
3211122210200020
4231323332002
511040321424
61110034310
7204233130
oct55737602
924583606
1012042114
116885467
124048996
132658216
141856750
1510cd079
hexb7bf82

12042114 has 32 divisors (see below), whose sum is σ = 27709440. Its totient is φ = 3417552.

The previous prime is 12042113. The next prime is 12042127. The reversal of 12042114 is 41124021.

12042114 = T300 + T301 + ... + T462.

It is a junction number, because it is equal to n+sod(n) for n = 12042093 and 12042102.

It is not an unprimeable number, because it can be changed into a prime (12042113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5967 + ... + 7725.

It is an arithmetic number, because the mean of its divisors is an integer number (865920).

Almost surely, 212042114 is an apocalyptic number.

12042114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12042114 is an abundant number, since it is smaller than the sum of its proper divisors (15667326).

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

12042114 is a wasteful number, since it uses less digits than its factorization.

12042114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 12042114 is about 3470.1749235449. The cubic root of 12042114 is about 229.2103607851.

Adding to 12042114 its reverse (41124021), we get a palindrome (53166135).

The spelling of 12042114 in words is "twelve million, forty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 163 326 489 978 1141 1759 2282 3423 3518 5277 6846 10554 12313 24626 36939 73878 286717 573434 860151 1720302 2007019 4014038 6021057 12042114