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12081420 = 22335131721
BaseRepresentation
bin101110000101…
…100100001100
3211201210121000
4232011210030
511043101140
61110540300
7204455541
oct56054414
924653530
1012081420
116901a4a
124067690
132670090
141866bc8
1510d9a30
hexb8590c

12081420 has 96 divisors (see below), whose sum is σ = 40501440. Its totient is φ = 2972160.

The previous prime is 12081401. The next prime is 12081439. The reversal of 12081420 is 2418021.

It is an interprime number because it is at equal distance from previous prime (12081401) and next prime (12081439).

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 = 12081393 and 12081402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6160 + ... + 7880.

It is an arithmetic number, because the mean of its divisors is an integer number (421890).

Almost surely, 212081420 is an apocalyptic number.

12081420 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 12081420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20250720).

12081420 is an abundant number, since it is smaller than the sum of its proper divisors (28420020).

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

12081420 is a wasteful number, since it uses less digits than its factorization.

12081420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12081420 is about 3475.8337129385. The cubic root of 12081420 is about 229.4594742403.

Adding to 12081420 its reverse (2418021), we get a palindrome (14499441).

It can be divided in two parts, 1208 and 1420, that added together give a triangular number (2628 = T72).

The spelling of 12081420 in words is "twelve million, eighty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1721 1755 2340 3442 3510 5163 6884 7020 8605 10326 15489 17210 20652 22373 25815 30978 34420 44746 46467 51630 61956 67119 77445 89492 92934 103260 111865 134238 154890 185868 201357 223730 232335 268476 309780 335595 402714 447460 464670 604071 671190 805428 929340 1006785 1208142 1342380 2013570 2416284 3020355 4027140 6040710 12081420