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12225182280 = 2335107952117
BaseRepresentation
bin10110110001010110…
…10111101001001000
31011112222211121100220
423120223113221020
5200014121313110
65341032030040
7611644222563
oct133053275110
934488747326
1012225182280
115203884433
122452232320
1311ca9c7c8c
1483d8b74da
154b8401370
hex2d8ad7a48

12225182280 has 64 divisors (see below), whose sum is σ = 37018347840. Its totient is φ = 3229577472.

The previous prime is 12225182251. The next prime is 12225182287. The reversal of 12225182280 is 8228152221.

12225182280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12225182287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463219 + ... + 488898.

It is an arithmetic number, because the mean of its divisors is an integer number (578411685).

Almost surely, 212225182280 is an apocalyptic number.

12225182280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12225182280 is an abundant number, since it is smaller than the sum of its proper divisors (24793165560).

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

12225182280 is a wasteful number, since it uses less digits than its factorization.

12225182280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952238 (or 952234 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The spelling of 12225182280 in words is "twelve billion, two hundred twenty-five million, one hundred eighty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4280 6420 12840 952117 1904234 2856351 3808468 4760585 5712702 7616936 9521170 11425404 14281755 19042340 22850808 28563510 38084680 57127020 101876519 114254040 203753038 305629557 407506076 509382595 611259114 815012152 1018765190 1222518228 1528147785 2037530380 2445036456 3056295570 4075060760 6112591140 12225182280