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120220023120000 = 27354500916763
BaseRepresentation
bin11011010101011011100111…
…110001011110000010000000
3120202122220220010002121100220
4123111123213301132002000
5111224141101404320000
61103404152143543040
734215416146640256
oct3325334761360200
9522586803077326
10120220023120000
1135340030a15871
12115975425baa80
135210912b5a03b
1421989745345d6
15dd72ea8b11a0
hex6d56e7c5e080

120220023120000 has 160 divisors (see below), whose sum is σ = 399040312537680. Its totient is φ = 32058672768000.

The previous prime is 120220023119971. The next prime is 120220023120049. The reversal of 120220023120000 is 21320022021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 250218382 + ... + 250698381.

Almost surely, 2120220023120000 is an apocalyptic number.

120220023120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120220023120000 is an abundant number, since it is smaller than the sum of its proper divisors (278820289417680).

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

120220023120000 is an frugal number, since it uses more digits than its factorization.

120220023120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500916800 (or 500916773 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 120220023120000 its reverse (21320022021), we get a palindrome (120241343142021).

The spelling of 120220023120000 in words is "one hundred twenty trillion, two hundred twenty billion, twenty-three million, one hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 24000 30000 40000 48000 60000 80000 120000 240000 500916763 1001833526 1502750289 2003667052 2504583815 3005500578 4007334104 5009167630 6011001156 7513751445 8014668208 10018335260 12022002312 12522919075 15027502890 16029336416 20036670520 24044004624 25045838150 30055005780 32058672832 37568757225 40073341040 48088009248 50091676300 60110011560 62614595375 64117345664 75137514450 80146682080 96176018496 100183352600 120220023120 125229190750 150275028900 160293364160 187843786125 192352036992 200366705200 240440046240 250458381500 300550057800 313072976875 320586728320 375687572250 400733410400 480880092480 500916763000 601100115600 626145953750 751375144500 801466820800 939218930625 961760184960 1001833526000 1202200231200 1252291907500 1502750289000 1602933641600 1878437861250 2003667052000 2404400462400 2504583815000 3005500578000 3756875722500 4007334104000 4808800924800 5009167630000 6011001156000 7513751445000 8014668208000 10018335260000 12022002312000 15027502890000 20036670520000 24044004624000 30055005780000 40073341040000 60110011560000 120220023120000