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12022104240 = 24355618421
BaseRepresentation
bin10110011001001001…
…01100000010110000
31011000211201011200000
423030210230002300
5144110124313430
65304535230000
7603630125406
oct131444540260
934024634600
1012022104240
11510a189943
1223b6218300
131197903963
14820933476
154a5689e60
hex2cc92c0b0

12022104240 has 120 divisors (see below), whose sum is σ = 41869643088. Its totient is φ = 3205889280.

The previous prime is 12022104229. The next prime is 12022104257. The reversal of 12022104240 is 4240122021.

12022104240 is a `hidden beast` number, since 1 + 20 + 221 + 0 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 289771 + ... + 328650.

Almost surely, 212022104240 is an apocalyptic number.

12022104240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022104240 is an abundant number, since it is smaller than the sum of its proper divisors (29847538848).

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

12022104240 is an equidigital number, since it uses as much as digits as its factorization.

12022104240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618449 (or 618431 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12022104240 its reverse (4240122021), we get a palindrome (16262226261).

The spelling of 12022104240 in words is "twelve billion, twenty-two million, one hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 618421 1236842 1855263 2473684 3092105 3710526 4947368 5565789 6184210 7421052 9276315 9894736 11131578 12368420 14842104 16697367 18552630 22263156 24736840 27828945 29684208 33394734 37105260 44526312 49473680 50092101 55657890 66789468 74210520 83486835 89052624 100184202 111315780 133578936 148421040 150276303 166973670 200368404 222631560 250460505 267157872 300552606 333947340 400736808 445263120 500921010 601105212 667894680 751381515 801473616 1001842020 1202210424 1335789360 1502763030 2003684040 2404420848 3005526060 4007368080 6011052120 12022104240