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12095120 = 245151189
BaseRepresentation
bin101110001000…
…111010010000
3211202111101102
4232020322100
511044020440
61111123532
7204543512
oct56107220
924674342
1012095120
116911274
1240735a8
13267639b
14186bbb2
1510ddb15
hexb88e90

12095120 has 20 divisors (see below), whose sum is σ = 28121340. Its totient is φ = 4838016.

The previous prime is 12095119. The next prime is 12095159. The reversal of 12095120 is 2159021.

It can be written as a sum of positive squares in 2 ways, for example, as 3984016 + 8111104 = 1996^2 + 2848^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12095092 and 12095101.

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, 75515 + ... + 75674.

It is an arithmetic number, because the mean of its divisors is an integer number (1406067).

Almost surely, 212095120 is an apocalyptic number.

12095120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12095120 is an abundant number, since it is smaller than the sum of its proper divisors (16026220).

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

12095120 is a wasteful number, since it uses less digits than its factorization.

12095120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151202 (or 151196 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 12095120 is about 3477.8039047652. The cubic root of 12095120 is about 229.5461750667.

The spelling of 12095120 in words is "twelve million, ninety-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151189 302378 604756 755945 1209512 1511890 2419024 3023780 6047560 12095120