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12123003331120 = 2451114899251941
BaseRepresentation
bin1011000001101001101101…
…0011101010001000110000
31120220221120221112202001211
42300122123103222020300
53042110402323043440
641441121510205504
72360600216043223
oct260323323521060
946827527482054
1012123003331120
113954378375060
121439629353894
1369c26ab86756
142dca83b575ba
151605318c6eea
hexb069b4ea230

12123003331120 has 80 divisors (see below), whose sum is σ = 30768998470560. Its totient is φ = 4405403750400.

The previous prime is 12123003331099. The next prime is 12123003331133. The reversal of 12123003331120 is 2113330032121.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12123003331091 and 12123003331100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3315651 + ... + 5936290.

It is an arithmetic number, because the mean of its divisors is an integer number (384612480882).

Almost surely, 212123003331120 is an apocalyptic number.

12123003331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12123003331120 is an abundant number, since it is smaller than the sum of its proper divisors (18645995139440).

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

12123003331120 is a wasteful number, since it uses less digits than its factorization.

12123003331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9253454 (or 9253448 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12123003331120 its reverse (2113330032121), we get a palindrome (14236333363241).

The spelling of 12123003331120 in words is "twelve trillion, one hundred twenty-three billion, three million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1489 2978 5956 7445 11912 14890 16379 23824 29780 32758 59560 65516 81895 119120 131032 163790 262064 327580 655160 1310320 9251941 18503882 37007764 46259705 74015528 92519410 101771351 148031056 185038820 203542702 370077640 407085404 508856755 740155280 814170808 1017713510 1628341616 2035427020 4070854040 8141708080 13776140149 27552280298 55104560596 68880700745 110209121192 137761401490 151537541639 220418242384 275522802980 303075083278 551045605960 606150166556 757687708195 1102091211920 1212300333112 1515375416390 2424600666224 3030750832780 6061501665560 12123003331120