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12123680 = 25575773
BaseRepresentation
bin101110001111…
…111000100000
3211210221120012
4232033320200
511100424210
61111504052
7205023002
oct56177040
924727505
1012123680
116930778
124088028
13268639a
141878372
1510e7305
hexb8fe20

12123680 has 24 divisors (see below), whose sum is σ = 28642572. Its totient is φ = 4849408.

The previous prime is 12123673. The next prime is 12123701. The reversal of 12123680 is 8632121.

12123680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10061584 + 2062096 = 3172^2 + 1436^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37727 + ... + 38046.

Almost surely, 212123680 is an apocalyptic number.

12123680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12123680 is an abundant number, since it is smaller than the sum of its proper divisors (16518892).

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

12123680 is an equidigital number, since it uses as much as digits as its factorization.

12123680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75788 (or 75780 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 12123680 is about 3481.9075231832. The cubic root of 12123680 is about 229.7267075309.

The spelling of 12123680 in words is "twelve million, one hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 75773 151546 303092 378865 606184 757730 1212368 1515460 2424736 3030920 6061840 12123680