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12052200 = 2335253379
BaseRepresentation
bin101101111110…
…011011101000
3211200022111210
4231332123220
511041132300
61110153120
7204304416
oct55763350
924608453
1012052200
116891aa6
1240527a0
13265c9a4
14185a2b6
1510d1050
hexb7e6e8

12052200 has 96 divisors (see below), whose sum is σ = 38167200. Its totient is φ = 3144960.

The previous prime is 12052199. The next prime is 12052219. The reversal of 12052200 is 225021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31611 + ... + 31989.

It is an arithmetic number, because the mean of its divisors is an integer number (397575).

Almost surely, 212052200 is an apocalyptic number.

12052200 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 12052200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19083600).

12052200 is an abundant number, since it is smaller than the sum of its proper divisors (26115000).

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

12052200 is a wasteful number, since it uses less digits than its factorization.

12052200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 12052200 is about 3471.6278602408. The cubic root of 12052200 is about 229.2743354486.

Adding to 12052200 its reverse (225021), we get a palindrome (12277221).

The spelling of 12052200 in words is "twelve million, fifty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 53 60 75 100 106 120 150 159 200 212 265 300 318 379 424 530 600 636 758 795 1060 1137 1272 1325 1516 1590 1895 2120 2274 2650 3032 3180 3790 3975 4548 5300 5685 6360 7580 7950 9096 9475 10600 11370 15160 15900 18950 20087 22740 28425 31800 37900 40174 45480 56850 60261 75800 80348 100435 113700 120522 160696 200870 227400 241044 301305 401740 482088 502175 602610 803480 1004350 1205220 1506525 2008700 2410440 3013050 4017400 6026100 12052200