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120222010012000 = 2553132311961731
BaseRepresentation
bin11011010101011101011110…
…001100110111000101100000
3120202200010000120210011210111
4123111131132030313011200
5111224204134030341000
61103405121241541104
734215516324146311
oct3325353614670540
9522603016704714
10120222010012000
113534096051a176
12115979b7aa4794
135210b6b694c90
142198ac237a608
15dd73b5034cba
hex6d575e337160

120222010012000 has 96 divisors (see below), whose sum is σ = 318107438629344. Its totient is φ = 44389665216000.

The previous prime is 120222010011941. The next prime is 120222010012003. The reversal of 120222010012000 is 210010222021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120222010012003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1155928866 + ... + 1156032865.

It is an arithmetic number, because the mean of its divisors is an integer number (3313619152389).

Almost surely, 2120222010012000 is an apocalyptic number.

120222010012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120222010012000 is an abundant number, since it is smaller than the sum of its proper divisors (197885428617344).

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

120222010012000 is a wasteful number, since it uses less digits than its factorization.

120222010012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311961769 (or 2311961751 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120222010012000 its reverse (210010222021), we get a palindrome (120432020234021).

The spelling of 120222010012000 in words is "one hundred twenty trillion, two hundred twenty-two billion, ten million, twelve thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6500 10400 13000 26000 52000 2311961731 4623923462 9247846924 11559808655 18495693848 23119617310 30055502503 36991387696 46239234620 57799043275 60111005006 73982775392 92478469240 115598086550 120222010012 150277512515 184956938480 231196173100 240444020024 288995216375 300555025030 369913876960 462392346200 480888040048 577990432750 601110050060 751387562575 924784692400 961776080096 1155980865500 1202220100120 1502775125150 1849569384800 2311961731000 2404440200240 3005550250300 3756937812875 4623923462000 4808880400480 6011100500600 7513875625750 9247846924000 12022201001200 15027751251500 24044402002400 30055502503000 60111005006000 120222010012000