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12441220 = 2251125397
BaseRepresentation
bin101111011101…
…011010000100
3212102002010221
4233131122010
511141104340
61122354124
7210514531
oct57353204
925362127
1012441220
117028300
1241bb944
132767a8c
14191bd88
15115b44a
hexbdd684

12441220 has 72 divisors (see below), whose sum is σ = 29561112. Its totient is φ = 4392960.

The previous prime is 12441217. The next prime is 12441223. The reversal of 12441220 is 2214421.

It is an interprime number because it is at equal distance from previous prime (12441217) and next prime (12441223).

It can be written as a sum of positive squares in 4 ways, for example, as 1982464 + 10458756 = 1408^2 + 3234^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12441194 and 12441203.

It is not an unprimeable number, because it can be changed into a prime (12441223) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 128212 + ... + 128308.

It is an arithmetic number, because the mean of its divisors is an integer number (410571).

Almost surely, 212441220 is an apocalyptic number.

12441220 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 12441220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14780556).

12441220 is an abundant number, since it is smaller than the sum of its proper divisors (17119892).

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

12441220 is a wasteful number, since it uses less digits than its factorization.

12441220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 12441220 is about 3527.2113631026. The cubic root of 12441220 is about 231.7150931895.

Adding to 12441220 its reverse (2214421), we get a palindrome (14655641).

The spelling of 12441220 in words is "twelve million, four hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 97 106 110 121 194 212 220 242 265 388 484 485 530 583 605 970 1060 1067 1166 1210 1940 2134 2332 2420 2915 4268 5141 5335 5830 6413 10282 10670 11660 11737 12826 20564 21340 23474 25652 25705 32065 46948 51410 56551 58685 64130 102820 113102 117370 128260 226204 234740 282755 565510 622061 1131020 1244122 2488244 3110305 6220610 12441220