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12002321011320 = 2332537901075151
BaseRepresentation
bin1010111010101000001000…
…0101001001001001111000
31120111102002101110200202200
42232222002011021021320
53033121223134330240
641305442401230200
72346065463204243
oct256520205111170
946442071420680
1012002321011320
113908179346a82
12141a169032360
13690a77510573
142d6cb5d5a25a
1515c31ba92930
hexaea82149278

12002321011320 has 96 divisors (see below), whose sum is σ = 40061801257920. Its totient is φ = 3114115718400.

The previous prime is 12002321011313. The next prime is 12002321011381. The reversal of 12002321011320 is 2311012320021.

12002321011320 is a `hidden beast` number, since 1 + 20 + 0 + 2 + 321 + 0 + 1 + 1 + 320 = 666.

It is a super-3 number, since 3×120023210113203 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12002321011293 and 12002321011302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450524256 + ... + 450550895.

It is an arithmetic number, because the mean of its divisors is an integer number (417310429770).

Almost surely, 212002321011320 is an apocalyptic number.

12002321011320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002321011320 is an abundant number, since it is smaller than the sum of its proper divisors (28059480246600).

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

12002321011320 is a wasteful number, since it uses less digits than its factorization.

12002321011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901075205 (or 901075198 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12002321011320 its reverse (2311012320021), we get a palindrome (14313333331341).

The spelling of 12002321011320 in words is "twelve trillion, two billion, three hundred twenty-one million, eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 901075151 1802150302 2703225453 3604300604 4505375755 5406450906 7208601208 8109676359 9010751510 10812901812 13516127265 16219352718 18021503020 21625803624 27032254530 32438705436 33339780587 36043006040 40548381795 54064509060 64877410872 66679561174 81096763590 100019341761 108129018120 133359122348 162193527180 166698902935 200038683522 266718244696 300058025283 324387054360 333397805870 400077367044 500096708805 600116050566 666795611740 800154734088 1000193417610 1200232101132 1333591223480 1500290126415 2000386835220 2400464202264 3000580252830 4000773670440 6001160505660 12002321011320