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12130200 = 23325223293
BaseRepresentation
bin101110010001…
…011110011000
3211211021111200
4232101132120
511101131300
61111554200
7205051005
oct56213630
924737450
1012130200
116935665
12408b960
132689344
14187a8ac
1510e9200
hexb91798

12130200 has 144 divisors (see below), whose sum is σ = 42653520. Its totient is φ = 3083520.

The previous prime is 12130169. The next prime is 12130259. The reversal of 12130200 is 203121.

It is a happy number.

12130200 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41254 + ... + 41546.

It is an arithmetic number, because the mean of its divisors is an integer number (296205).

Almost surely, 212130200 is an apocalyptic number.

12130200 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 12130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21326760).

12130200 is an abundant number, since it is smaller than the sum of its proper divisors (30523320).

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

12130200 is a wasteful number, since it uses less digits than its factorization.

12130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 326 counting only the distinct ones).

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

The square root of 12130200 is about 3482.8436657421. The cubic root of 12130200 is about 229.7678817649.

Adding to 12130200 its reverse (203121), we get a palindrome (12333321).

The spelling of 12130200 in words is "twelve million, one hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 25 30 36 40 45 46 50 60 69 72 75 90 92 100 115 120 138 150 180 184 200 207 225 230 276 293 300 345 360 414 450 460 552 575 586 600 690 828 879 900 920 1035 1150 1172 1380 1465 1656 1725 1758 1800 2070 2300 2344 2637 2760 2930 3450 3516 4140 4395 4600 5175 5274 5860 6739 6900 7032 7325 8280 8790 10350 10548 11720 13185 13478 13800 14650 17580 20217 20700 21096 21975 26370 26956 29300 33695 35160 40434 41400 43950 52740 53912 58600 60651 65925 67390 80868 87900 101085 105480 121302 131850 134780 161736 168475 175800 202170 242604 263700 269560 303255 336950 404340 485208 505425 527400 606510 673900 808680 1010850 1213020 1347800 1516275 2021700 2426040 3032550 4043400 6065100 12130200