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12318120 = 2332534217
BaseRepresentation
bin101110111111…
…010110101000
3212011211021200
4232333112220
511123134440
61120004200
7206462613
oct56772650
925154250
1012318120
116a53871
124160660
132723a39
1418c917a
151134c30
hexbbf5a8

12318120 has 48 divisors (see below), whose sum is σ = 40035060. Its totient is φ = 3284736.

The previous prime is 12318109. The next prime is 12318143. The reversal of 12318120 is 2181321.

It can be written as a sum of positive squares in 2 ways, for example, as 11737476 + 580644 = 3426^2 + 762^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12318093 and 12318102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16749 + ... + 17468.

Almost surely, 212318120 is an apocalyptic number.

12318120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12318120 is an abundant number, since it is smaller than the sum of its proper divisors (27716940).

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

12318120 is a wasteful number, since it uses less digits than its factorization.

12318120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34234 (or 34227 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 12318120 is about 3509.7179373847. The cubic root of 12318120 is about 230.9483214918.

Adding to 12318120 its reverse (2181321), we get a palindrome (14499441).

It can be divided in two parts, 123181 and 20, that added together give a square (123201 = 3512).

The spelling of 12318120 in words is "twelve million, three hundred eighteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 34217 68434 102651 136868 171085 205302 273736 307953 342170 410604 513255 615906 684340 821208 1026510 1231812 1368680 1539765 2053020 2463624 3079530 4106040 6159060 12318120