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12122294016 = 28373760943
BaseRepresentation
bin10110100101000101…
…11000011100000000
31011021211020100012110
423102202320130000
5144311301402031
65322514455320
7606254541030
oct132242703400
934254210173
1012122294016
11516079aa08
122423894540
1311b25b2951
1482dd738c0
154ae37ac46
hex2d28b8700

12122294016 has 144 divisors (see below), whose sum is σ = 37869138944. Its totient is φ = 3369848832.

The previous prime is 12122294011. The next prime is 12122294021. The reversal of 12122294016 is 61049222121.

It is an interprime number because it is at equal distance from previous prime (12122294011) and next prime (12122294021).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122294011) by changing a digit.

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, 168441 + ... + 229383.

Almost surely, 212122294016 is an apocalyptic number.

12122294016 is a gapful number since it is divisible by the number (16) 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 12122294016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18934569472).

12122294016 is an abundant number, since it is smaller than the sum of its proper divisors (25746844928).

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

12122294016 is an equidigital number, since it uses as much as digits as its factorization.

12122294016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61006 (or 60992 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 12122294016 in words is "twelve billion, one hundred twenty-two million, two hundred ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 128 148 168 192 222 224 256 259 296 336 384 444 448 518 592 672 768 777 888 896 1036 1184 1344 1554 1776 1792 2072 2368 2688 3108 3552 4144 4736 5376 6216 7104 8288 9472 12432 14208 16576 24864 28416 33152 49728 60943 66304 99456 121886 182829 198912 243772 365658 426601 487544 731316 853202 975088 1279803 1462632 1706404 1950176 2254891 2559606 2925264 3412808 3900352 4509782 5119212 5850528 6764673 6825616 7800704 9019564 10238424 11701056 13529346 13651232 15601408 15784237 18039128 20476848 23402112 27058692 27302464 31568474 36078256 40953696 46804224 47352711 54117384 54604928 63136948 72156512 81907392 94705422 108234768 109209856 126273896 144313024 163814784 189410844 216469536 252547792 288626048 327629568 378821688 432939072 505095584 577252096 757643376 865878144 1010191168 1515286752 1731756288 2020382336 3030573504 4040764672 6061147008 12122294016