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12130020 = 2233573209
BaseRepresentation
bin101110010001…
…011011100100
3211211021021000
4232101123210
511101130040
61111553300
7205050330
oct56213344
924737230
1012130020
116935511
12408b830
132689236
14187a7c0
1510e9130
hexb916e4

12130020 has 96 divisors (see below), whose sum is σ = 43142400. Its totient is φ = 2771712.

The previous prime is 12130007. The next prime is 12130049. The reversal of 12130020 is 2003121.

It is a happy number.

12130020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 12129984 and 12130011.

It is a congruent number.

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, 2176 + ... + 5384.

It is an arithmetic number, because the mean of its divisors is an integer number (449400).

Almost surely, 212130020 is an apocalyptic number.

12130020 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 12130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21571200).

12130020 is an abundant number, since it is smaller than the sum of its proper divisors (31012380).

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

12130020 is a wasteful number, since it uses less digits than its factorization.

12130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3234 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 12130020 is about 3482.8178246931. The cubic root of 12130020 is about 229.7667452509.

Adding to 12130020 its reverse (2003121), we get a palindrome (14133141).

The spelling of 12130020 in words is "twelve million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3209 3780 6418 9627 12836 16045 19254 22463 28881 32090 38508 44926 48135 57762 64180 67389 86643 89852 96270 112315 115524 134778 144405 173286 192540 202167 224630 269556 288810 336945 346572 404334 433215 449260 577620 606501 673890 808668 866430 1010835 1213002 1347780 1732860 2021670 2426004 3032505 4043340 6065010 12130020