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12122211330 = 234547318419
BaseRepresentation
bin10110100101000101…
…00100010000000010
31011021211002010210000
423102202210100002
5144311241230310
65322513020430
7606254044665
oct132242442002
934254063700
1012122211330
115160743879
122423854716
1311b2584118
1482dd516dc
154ae3614c0
hex2d28a4402

12122211330 has 80 divisors (see below), whose sum is σ = 33288900480. Its totient is φ = 3163801248.

The previous prime is 12122211317. The next prime is 12122211349. The reversal of 12122211330 is 3311222121.

12122211330 is a `hidden beast` number, since 1 + 2 + 122 + 211 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 121140 + ... + 197279.

It is an arithmetic number, because the mean of its divisors is an integer number (416111256).

Almost surely, 212122211330 is an apocalyptic number.

12122211330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12122211330 is an abundant number, since it is smaller than the sum of its proper divisors (21166689150).

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

12122211330 is a wasteful number, since it uses less digits than its factorization.

12122211330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318485 (or 318476 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12122211330 its reverse (3311222121), we get a palindrome (15433433451).

The spelling of 12122211330 in words is "twelve billion, one hundred twenty-two million, two hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 81 90 94 135 141 162 235 270 282 405 423 470 705 810 846 1269 1410 2115 2538 3807 4230 6345 7614 12690 19035 38070 318419 636838 955257 1592095 1910514 2865771 3184190 4776285 5731542 8597313 9552570 14328855 14965693 17194626 25791939 28657710 29931386 42986565 44897079 51583878 74828465 85973130 89794158 128959695 134691237 149656930 224485395 257919390 269382474 404073711 448970790 673456185 808147422 1212221133 1346912370 2020368555 2424442266 4040737110 6061105665 12122211330