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12122022320 = 2451672693373
BaseRepresentation
bin10110100101000011…
…10110000110110000
31011021210201112111122
423102201312012300
5144311214203240
65322505001412
7606252326642
oct132241660660
934253645448
1012122022320
115160624871
122423783268
1311b2519095
1482dd02892
154ae3254b5
hex2d28761b0

12122022320 has 80 divisors (see below), whose sum is σ = 28466303040. Its totient is φ = 4800433152.

The previous prime is 12122022317. The next prime is 12122022383. The reversal of 12122022320 is 2322022121.

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

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, 3592154 + ... + 3595526.

It is an arithmetic number, because the mean of its divisors is an integer number (355828788).

Almost surely, 212122022320 is an apocalyptic number.

12122022320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14233151520).

12122022320 is an abundant number, since it is smaller than the sum of its proper divisors (16344280720).

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

12122022320 is a wasteful number, since it uses less digits than its factorization.

12122022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12122022320 its reverse (2322022121), we get a palindrome (14444044441).

The spelling of 12122022320 in words is "twelve billion, one hundred twenty-two million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 269 334 538 668 835 1076 1336 1345 1670 2152 2672 2690 3340 3373 4304 5380 6680 6746 10760 13360 13492 16865 21520 26984 33730 44923 53968 67460 89846 134920 179692 224615 269840 359384 449230 563291 718768 898460 907337 1126582 1796920 1814674 2253164 2816455 3593840 3629348 4506328 4536685 5632910 7258696 9012656 9073370 11265820 14517392 18146740 22531640 36293480 45063280 72586960 151525279 303050558 606101116 757626395 1212202232 1515252790 2424404464 3030505580 6061011160 12122022320