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12321120 = 2535719193
BaseRepresentation
bin101111000000…
…000101100000
3212011222101210
4233000011200
511123233440
61120030120
7206504430
oct57000540
925158353
1012321120
116a56049
124162340
132725206
1418ca2c0
151135a80
hexbc0160

12321120 has 192 divisors, whose sum is σ = 46932480. Its totient is φ = 2654208.

The previous prime is 12321083. The next prime is 12321121. The reversal of 12321120 is 2112321.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12321096 and 12321105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12321121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63744 + ... + 63936.

It is an arithmetic number, because the mean of its divisors is an integer number (244440).

Almost surely, 212321120 is an apocalyptic number.

12321120 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 12321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23466240).

12321120 is an abundant number, since it is smaller than the sum of its proper divisors (34611360).

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

12321120 is a wasteful number, since it uses less digits than its factorization.

12321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12321120 is about 3510.1452961380. The cubic root of 12321120 is about 230.9670686362.

Adding to 12321120 its reverse (2112321), we get a palindrome (14433441).

The spelling of 12321120 in words is "twelve million, three hundred twenty-one thousand, one hundred twenty".