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12456220 = 2257193461
BaseRepresentation
bin101111100001…
…000100011100
3212102211201111
4233201010130
511142044340
61122551404
7210606340
oct57410434
925384644
1012456220
1170385a7
124208564
13277185a
141923620
151160aea
hexbe111c

12456220 has 48 divisors (see below), whose sum is σ = 30115008. Its totient is φ = 4239360.

The previous prime is 12456217. The next prime is 12456221. The reversal of 12456220 is 2265421.

It is a junction number, because it is equal to n+sod(n) for n = 12456191 and 12456200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12456221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26790 + ... + 27250.

It is an arithmetic number, because the mean of its divisors is an integer number (627396).

Almost surely, 212456220 is an apocalyptic number.

12456220 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 12456220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15057504).

12456220 is an abundant number, since it is smaller than the sum of its proper divisors (17658788).

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

12456220 is a wasteful number, since it uses less digits than its factorization.

12456220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 12456220 is about 3529.3370482287. The cubic root of 12456220 is about 231.8081797323.

The spelling of 12456220 in words is "twelve million, four hundred fifty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 193 386 461 772 922 965 1351 1844 1930 2305 2702 3227 3860 4610 5404 6454 6755 9220 12908 13510 16135 27020 32270 64540 88973 177946 355892 444865 622811 889730 1245622 1779460 2491244 3114055 6228110 12456220