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12741120 = 29325779
BaseRepresentation
bin110000100110…
…101000000000
3212222022112100
4300212220000
511230203440
61133030400
7213204060
oct60465000
925868470
1012741120
117212657
124325400
132841432
1419993a0
1511ba230
hexc26a00

12741120 has 240 divisors, whose sum is σ = 51068160. Its totient is φ = 2875392.

The previous prime is 12741107. The next prime is 12741167. The reversal of 12741120 is 2114721.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×127411202 = 324672277708800, which contains 22 as substring.

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 = 12741093 and 12741102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161241 + ... + 161319.

It is an arithmetic number, because the mean of its divisors is an integer number (212784).

Almost surely, 212741120 is an apocalyptic number.

12741120 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 12741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25534080).

12741120 is an abundant number, since it is smaller than the sum of its proper divisors (38327040).

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

12741120 is an equidigital number, since it uses as much as digits as its factorization.

12741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 12741120 is about 3569.4705489750. The cubic root of 12741120 is about 233.5621881627.

Adding to 12741120 its reverse (2114721), we get a palindrome (14855841).

The spelling of 12741120 in words is "twelve million, seven hundred forty-one thousand, one hundred twenty".