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12003331232112 = 2431190912500669
BaseRepresentation
bin1010111010101011111001…
…0010110101000101110000
31120111111200210101020011120
42232222332102311011300
53033130310243411422
641310130525542240
72346132511014333
oct256527622650560
946444623336146
1012003331232112
1139086476108a0
12141a3ab414980
13690ba88b894c
142d6d701a861a
1515c37a5e245c
hexaeabe4b5170

12003331232112 has 80 divisors (see below), whose sum is σ = 33831304360320. Its totient is φ = 3636971539200.

The previous prime is 12003331232111. The next prime is 12003331232119. The reversal of 12003331232112 is 21123213330021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003331232111) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3549714 + ... + 6050382.

It is an arithmetic number, because the mean of its divisors is an integer number (422891304504).

Almost surely, 212003331232112 is an apocalyptic number.

12003331232112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12003331232112 is an abundant number, since it is smaller than the sum of its proper divisors (21827973128208).

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

12003331232112 is a wasteful number, since it uses less digits than its factorization.

12003331232112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509782 (or 2509776 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12003331232112 its reverse (21123213330021), we get a palindrome (33126544562133).

The spelling of 12003331232112 in words is "twelve trillion, three billion, three hundred thirty-one million, two hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 9091 18182 27273 36364 54546 72728 100001 109092 145456 200002 218184 300003 400004 436368 600006 800008 1200012 1600016 2400024 2500669 4800048 5001338 7502007 10002676 15004014 20005352 27507359 30008028 40010704 55014718 60016056 82522077 110029436 120032112 165044154 220058872 330088308 440117744 660176616 1320353232 22733581879 45467163758 68200745637 90934327516 136401491274 181868655032 250069400669 272802982548 363737310064 500138801338 545605965096 750208202007 1000277602676 1091211930192 1500416404014 2000555205352 3000832808028 4001110410704 6001665616056 12003331232112