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12319120 = 2451113999
BaseRepresentation
bin101110111111…
…100110010000
3212011212122201
4232333212100
511123202440
61120012544
7206465542
oct56774620
925155581
1012319120
116a545a0
124161154
132724328
1418c9692
15113519a
hexbbf990

12319120 has 40 divisors (see below), whose sum is σ = 31248000. Its totient is φ = 4479360.

The previous prime is 12319117. The next prime is 12319129. The reversal of 12319120 is 2191321.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12319129) 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, 6120 + ... + 7879.

It is an arithmetic number, because the mean of its divisors is an integer number (781200).

Almost surely, 212319120 is an apocalyptic number.

12319120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12319120 is an abundant number, since it is smaller than the sum of its proper divisors (18928880).

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

12319120 is a wasteful number, since it uses less digits than its factorization.

12319120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14023 (or 14017 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 12319120 is about 3509.8603960842. The cubic root of 12319120 is about 230.9545708781.

The spelling of 12319120 in words is "twelve million, three hundred nineteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 13999 27998 55996 69995 111992 139990 153989 223984 279980 307978 559960 615956 769945 1119920 1231912 1539890 2463824 3079780 6159560 12319120