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12320000 = 2854711
BaseRepresentation
bin101110111111…
…110100000000
3212011220212022
4232333310000
511123220000
61120021012
7206501240
oct56776400
925156768
1012320000
116a55220
124161768
132724854
1418c9b20
151135585
hexbbfd00

12320000 has 180 divisors, whose sum is σ = 38312736. Its totient is φ = 3840000.

The previous prime is 12319997. The next prime is 12320017. The reversal of 12320000 is 2321.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 12320000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1119995 + ... + 1120005.

Almost surely, 212320000 is an apocalyptic number.

12320000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19156368).

12320000 is an abundant number, since it is smaller than the sum of its proper divisors (25992736).

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

12320000 is an frugal number, since it uses more digits than its factorization.

12320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 12320000 is about 3509.9857549568. The cubic root of 12320000 is about 230.9600700583.

Adding to 12320000 its reverse (2321), we get a palindrome (12322321).

The spelling of 12320000 in words is "twelve million, three hundred twenty thousand".