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12003300120 = 2335761323311
BaseRepresentation
bin10110010110111001…
…11101001100011000
31010222112022211021010
423023130331030120
5144040321100440
65303024213520
7603311240040
oct131334751430
933875284233
1012003300120
1150aa606049
1223aba6a2a0
131193a4b966
1481c23a720
154a3bc3580
hex2cb73d318

12003300120 has 128 divisors (see below), whose sum is σ = 41223075840. Its totient is φ = 2739018240.

The previous prime is 12003300077. The next prime is 12003300131. The reversal of 12003300120 is 2100330021.

It is a happy number.

It is a super-3 number, since 3×120033001203 (a number of 31 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12003300096 and 12003300105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503265 + ... + 526575.

It is an arithmetic number, because the mean of its divisors is an integer number (322055280).

Almost surely, 212003300120 is an apocalyptic number.

12003300120 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 12003300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20611537920).

12003300120 is an abundant number, since it is smaller than the sum of its proper divisors (29219775720).

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

12003300120 is a wasteful number, since it uses less digits than its factorization.

12003300120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23945 (or 23941 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12003300120 its reverse (2100330021), we get a palindrome (14103630141).

The spelling of 12003300120 in words is "twelve billion, three million, three hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 613 840 1226 1839 2452 3065 3678 4291 4904 6130 7356 8582 9195 12260 12873 14712 17164 18390 21455 23311 24520 25746 34328 36780 42910 46622 51492 64365 69933 73560 85820 93244 102984 116555 128730 139866 163177 171640 186488 233110 257460 279732 326354 349665 466220 489531 514920 559464 652708 699330 815885 932440 979062 1305416 1398660 1631770 1958124 2447655 2797320 3263540 3916248 4895310 6527080 9790620 14289643 19581240 28579286 42868929 57158572 71448215 85737858 100027501 114317144 142896430 171475716 200055002 214344645 285792860 300082503 342951432 400110004 428689290 500137505 571585720 600165006 800220008 857378580 1000275010 1200330012 1500412515 1714757160 2000550020 2400660024 3000825030 4001100040 6001650060 12003300120