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12003030221000 = 2353713131901431
BaseRepresentation
bin1010111010101010110001…
…0110100100000011001000
31120111110220210222021112212
42232222230112210003020
53033124201214033000
641310041014124252
72346122164324040
oct256525426440310
946443823867485
1012003030221000
113908502706785
12141a326650688
13690b5b425870
142d6d42210720
1515c35de83c35
hexaeaac5a40c8

12003030221000 has 128 divisors (see below), whose sum is σ = 34568727298560. Its totient is φ = 3798761184000.

The previous prime is 12003030220957. The next prime is 12003030221009. The reversal of 12003030221000 is 12203030021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (12003030221009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65859716 + ... + 66041715.

It is an arithmetic number, because the mean of its divisors is an integer number (270068182020).

Almost surely, 212003030221000 is an apocalyptic number.

12003030221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12003030221000 is an abundant number, since it is smaller than the sum of its proper divisors (22565697077560).

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

12003030221000 is a wasteful number, since it uses less digits than its factorization.

12003030221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131901472 (or 131901458 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12003030221000 its reverse (12203030021), we get a palindrome (12015233251021).

The spelling of 12003030221000 in words is "twelve trillion, three billion, thirty million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 650 700 728 875 910 1000 1300 1400 1625 1750 1820 2275 2600 3250 3500 3640 4550 6500 7000 9100 11375 13000 18200 22750 45500 91000 131901431 263802862 527605724 659507155 923310017 1055211448 1319014310 1714718603 1846620034 2638028620 3297535775 3429437206 3693240068 4616550085 5276057240 6595071550 6858874412 7386480136 8573593015 9233100170 12003030221 13190143100 13717748824 16487678875 17147186030 18466200340 23082750425 24006060442 26380286200 32975357750 34294372060 36932400680 42867965075 46165500850 48012120884 60015151105 65950715500 68588744120 85735930150 92331001700 96024241768 115413752125 120030302210 131901431000 171471860300 184662003400 214339825375 230827504250 240060604420 300075755525 342943720600 428679650750 461655008500 480121208840 600151511050 857359301500 923310017000 1200303022100 1500378777625 1714718603000 2400606044200 3000757555250 6001515110500 12003030221000