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12099285800 = 2352721936397
BaseRepresentation
bin10110100010010110…
…00111001100101000
31011020012221101212022
423101023013030220
5144234404121200
65320333404012
7605555142500
oct132113071450
934205841768
1012099285800
115149805558
122418039608
1311aa8b8214
1482aca4a00
154ac333885
hex2d12c7328

12099285800 has 144 divisors (see below), whose sum is σ = 32898324060. Its totient is φ = 4126187520.

The previous prime is 12099285799. The next prime is 12099285901. The reversal of 12099285800 is 858299021.

It can be written as a sum of positive squares in 6 ways, for example, as 305760196 + 11793525604 = 17486^2 + 108598^2 .

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, 1888202 + ... + 1894598.

Almost surely, 212099285800 is an apocalyptic number.

12099285800 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 12099285800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16449162030).

12099285800 is an abundant number, since it is smaller than the sum of its proper divisors (20799038260).

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

12099285800 is a wasteful number, since it uses less digits than its factorization.

12099285800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6620 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 44.

The spelling of 12099285800 in words is "twelve billion, ninety-nine million, two hundred eighty-five thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 193 196 200 245 280 350 386 392 490 700 772 965 980 1225 1351 1400 1544 1930 1960 2450 2702 3860 4825 4900 5404 6397 6755 7720 9457 9650 9800 10808 12794 13510 18914 19300 25588 27020 31985 33775 37828 38600 44779 47285 51176 54040 63970 67550 75656 89558 94570 127940 135100 159925 179116 189140 223895 236425 255880 270200 313453 319850 358232 378280 447790 472850 626906 639700 895580 945700 1119475 1234621 1253812 1279400 1567265 1791160 1891400 2238950 2469242 2507624 3134530 4477900 4938484 6173105 6269060 7836325 8642347 8955800 9876968 12346210 12538120 15672650 17284694 24692420 30865525 31345300 34569388 43211735 49384840 60496429 61731050 62690600 69138776 86423470 120992858 123462100 172846940 216058675 241985716 246924200 302482145 345693880 432117350 483971432 604964290 864234700 1209928580 1512410725 1728469400 2419857160 3024821450 6049642900 12099285800