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12242352080 = 2457219164371
BaseRepresentation
bin10110110011011001…
…10111011111010000
31011121012010220220102
423121230313133100
5200033020231310
65342444031532
7612243163400
oct133154673720
934535126812
1012242352080
115212541352
122457b325a8
13120142a11a
14841ca6800
154b9b938a5
hex2d9b377d0

12242352080 has 120 divisors (see below), whose sum is σ = 34853438880. Its totient is φ = 3976439040.

The previous prime is 12242352079. The next prime is 12242352121. The reversal of 12242352080 is 8025324221.

It is a congruent number.

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, 7706 + ... + 156665.

It is an arithmetic number, because the mean of its divisors is an integer number (290445324).

Almost surely, 212242352080 is an apocalyptic number.

12242352080 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 12242352080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17426719440).

12242352080 is an abundant number, since it is smaller than the sum of its proper divisors (22611086800).

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

12242352080 is a wasteful number, since it uses less digits than its factorization.

12242352080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164417 (or 164404 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The spelling of 12242352080 in words is "twelve billion, two hundred forty-two million, three hundred fifty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 49 56 70 76 80 95 98 112 133 140 152 190 196 245 266 280 304 380 392 490 532 560 665 760 784 931 980 1064 1330 1520 1862 1960 2128 2660 3724 3920 4655 5320 7448 9310 10640 14896 18620 37240 74480 164371 328742 657484 821855 1150597 1314968 1643710 2301194 2629936 3123049 3287420 4602388 5752985 6246098 6574840 8054179 9204776 11505970 12492196 13149680 15615245 16108358 18409552 21861343 23011940 24984392 31230490 32216716 40270895 43722686 46023880 49968784 62460980 64433432 80541790 87445372 92047760 109306715 124921960 128866864 153029401 161083580 174890744 218613430 249843920 306058802 322167160 349781488 437226860 612117604 644334320 765147005 874453720 1224235208 1530294010 1748907440 2448470416 3060588020 6121176040 12242352080