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12122560 = 26543881
BaseRepresentation
bin101110001111…
…100111000000
3211210220000201
4232033213000
511100410220
61111454544
7205016512
oct56174700
924726021
1012122560
11692a94a
124087454
132685a18
141877bb2
1510e6d0a
hexb8f9c0

12122560 has 56 divisors (see below), whose sum is σ = 29571696. Its totient is φ = 4730880.

The previous prime is 12122557. The next prime is 12122563. The reversal of 12122560 is 6522121.

12122560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12122557) and next prime (12122563).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13320 + ... + 14200.

It is an arithmetic number, because the mean of its divisors is an integer number (528066).

Almost surely, 212122560 is an apocalyptic number.

12122560 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 12122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14785848).

12122560 is an abundant number, since it is smaller than the sum of its proper divisors (17449136).

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

12122560 is an equidigital number, since it uses as much as digits as its factorization.

12122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 12122560 is about 3481.7466880863. The cubic root of 12122560 is about 229.7196331708.

Adding to 12122560 its reverse (6522121), we get a palindrome (18644681).

The spelling of 12122560 in words is "twelve million, one hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 688 860 881 1376 1720 1762 2752 3440 3524 4405 6880 7048 8810 13760 14096 17620 28192 35240 37883 56384 70480 75766 140960 151532 189415 281920 303064 378830 606128 757660 1212256 1515320 2424512 3030640 6061280 12122560