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12079120 = 245150989
BaseRepresentation
bin101110000101…
…000000010000
3211201200102211
4232011000100
511043012440
61110521504
7204446044
oct56050020
924650384
1012079120
116900249
124066294
13266c011
141866024
1510d8eea
hexb85010

12079120 has 20 divisors (see below), whose sum is σ = 28084140. Its totient is φ = 4831616.

The previous prime is 12079103. The next prime is 12079121. The reversal of 12079120 is 2197021.

It can be written as a sum of positive squares in 2 ways, for example, as 4875264 + 7203856 = 2208^2 + 2684^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 12079091 and 12079100.

It is not an unprimeable number, because it can be changed into a prime (12079121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75415 + ... + 75574.

It is an arithmetic number, because the mean of its divisors is an integer number (1404207).

Almost surely, 212079120 is an apocalyptic number.

12079120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12079120 is an abundant number, since it is smaller than the sum of its proper divisors (16005020).

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

12079120 is a wasteful number, since it uses less digits than its factorization.

12079120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151002 (or 150996 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 12079120 is about 3475.5028413166. The cubic root of 12079120 is about 229.4449122025. Note that the first 3 decimals are identical.

The spelling of 12079120 in words is "twelve million, seventy-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 150989 301978 603956 754945 1207912 1509890 2415824 3019780 6039560 12079120