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12122332320 = 253573607837
BaseRepresentation
bin10110100101000110…
…00001110010100000
31011021211022021202010
423102203001302200
5144311304113240
65322515352520
7606255060510
oct132243016240
934254267663
1012122332320
11516081676a
1224238b2740
1311b25c7207
1482dd83840
154ae387280
hex2d28c1ca0

12122332320 has 96 divisors (see below), whose sum is σ = 43640408448. Its totient is φ = 2770818048.

The previous prime is 12122332283. The next prime is 12122332381. The reversal of 12122332320 is 2323322121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1800559 + ... + 1807278.

It is an arithmetic number, because the mean of its divisors is an integer number (454587588).

Almost surely, 212122332320 is an apocalyptic number.

12122332320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122332320 is an abundant number, since it is smaller than the sum of its proper divisors (31518076128).

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

12122332320 is a wasteful number, since it uses less digits than its factorization.

12122332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607862 (or 3607854 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12122332320 its reverse (2323322121), we get a palindrome (14445654441).

The spelling of 12122332320 in words is "twelve billion, one hundred twenty-two million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 3607837 7215674 10823511 14431348 18039185 21647022 25254859 28862696 36078370 43294044 50509718 54117555 57725392 72156740 75764577 86588088 101019436 108235110 115450784 126274295 144313480 151529154 173176176 202038872 216470220 252548590 288626960 303058308 346352352 378822885 404077744 432940440 505097180 577253920 606116616 757645770 808155488 865880880 1010194360 1212233232 1515291540 1731761760 2020388720 2424466464 3030583080 4040777440 6061166160 12122332320