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12082128 = 243376803
BaseRepresentation
bin101110000101…
…101111010000
3211201211120020
4232011233100
511043112003
61110543440
7204460602
oct56055720
924654506
1012082128
116902533
124067b80
1326704b6
141867172
1510d9d53
hexb85bd0

12082128 has 40 divisors (see below), whose sum is σ = 32060448. Its totient is φ = 3917952.

The previous prime is 12082127. The next prime is 12082129. The reversal of 12082128 is 82128021.

12082128 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12082127) and next prime (12082129).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12082098 and 12082107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12082123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1626 + ... + 5177.

Almost surely, 212082128 is an apocalyptic number.

It is an amenable number.

12082128 is an abundant number, since it is smaller than the sum of its proper divisors (19978320).

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

12082128 is a wasteful number, since it uses less digits than its factorization.

12082128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6851 (or 6845 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 12082128 is about 3475.9355575154. The cubic root of 12082128 is about 229.4639564434.

The spelling of 12082128 in words is "twelve million, eighty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 6803 13606 20409 27212 40818 54424 81636 108848 163272 251711 326544 503422 755133 1006844 1510266 2013688 3020532 4027376 6041064 12082128