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12005043233340 = 2235316454324319
BaseRepresentation
bin1010111010110010010001…
…0101100110001000111100
31120111200010002210220100110
42232230210111212020330
53033142312031431330
641311012444030020
72346223106542503
oct256544425461074
946450102726313
1012005043233340
113909345a30743
12141a7a8832310
136910bc4a7921
142d70936d583a
1515c42aa66db0
hexaeb2456623c

12005043233340 has 48 divisors (see below), whose sum is σ = 34698447544320. Its totient is φ = 3098075672640.

The previous prime is 12005043233203. The next prime is 12005043233353. The reversal of 12005043233340 is 4333234050021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12005043233298 and 12005043233307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3227160300 + ... + 3227164019.

It is an arithmetic number, because the mean of its divisors is an integer number (722884323840).

Almost surely, 212005043233340 is an apocalyptic number.

12005043233340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12005043233340 is an abundant number, since it is smaller than the sum of its proper divisors (22693404310980).

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

12005043233340 is a wasteful number, since it uses less digits than its factorization.

12005043233340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6454324362 (or 6454324360 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 12005043233340 its reverse (4333234050021), we get a palindrome (16338277283361).

The spelling of 12005043233340 in words is "twelve trillion, five billion, forty-three million, two hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 6454324319 12908648638 19362972957 25817297276 32271621595 38725945914 64543243190 77451891828 96814864785 129086486380 193629729570 200084053889 387259459140 400168107778 600252161667 800336215556 1000420269445 1200504323334 2000840538890 2401008646668 3001260808335 4001681077780 6002521616670 12005043233340