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12320102101120 = 275111750014503
BaseRepresentation
bin1011001101000111111101…
…0011110011000010000000
31121121210100002122200012021
42303101333103303002000
53103323032114213440
642111435441011224
72411045420664562
oct263217723630200
947553302580167
1012320102101120
113a1aa204a7210
12146b875323b14
136b4a1c0c4088
143084207c3332
1516571a2b784a
hexb347f4f3080

12320102101120 has 64 divisors (see below), whose sum is σ = 32130266293440. Its totient is φ = 4480037125120.

The previous prime is 12320102101081. The next prime is 12320102101157. The reversal of 12320102101120 is 2110120102321.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12320102101094 and 12320102101103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 875000212 + ... + 875014291.

It is an arithmetic number, because the mean of its divisors is an integer number (502035410835).

Almost surely, 212320102101120 is an apocalyptic number.

12320102101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12320102101120 is an abundant number, since it is smaller than the sum of its proper divisors (19810164192320).

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

12320102101120 is a wasteful number, since it uses less digits than its factorization.

12320102101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750014533 (or 1750014521 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12320102101120 its reverse (2110120102321), we get a palindrome (14430222203441).

The spelling of 12320102101120 in words is "twelve trillion, three hundred twenty billion, one hundred two million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 1750014503 3500029006 7000058012 8750072515 14000116024 17500145030 19250159533 28000232048 35000290060 38500319066 56000464096 70000580120 77000638132 96250797665 112000928192 140001160240 154001276264 192501595330 224001856384 280002320480 308002552528 385003190660 560004640960 616005105056 770006381320 1120009281920 1232010210112 1540012762640 2464020420224 3080025525280 6160051050560 12320102101120