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12001202202000 = 2435311181836397
BaseRepresentation
bin1010111010100011111101…
…1001001110010110010000
31120111022012102020021220110
42232220333121032112100
53033111430230431000
641305135353241320
72346025656401424
oct256507731162620
946438172207813
1012001202202000
113907754854a80
121419ab6403240
136909297a540b
142d6c0b522b84
1515c2a3743850
hexaea3f64e590

12001202202000 has 160 divisors (see below), whose sum is σ = 42209319394944. Its totient is φ = 2909382336000.

The previous prime is 12001202201971. The next prime is 12001202202007. The reversal of 12001202202000 is 20220210021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12001202202007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90852199 + ... + 90984198.

Almost surely, 212001202202000 is an apocalyptic number.

12001202202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001202202000 is an abundant number, since it is smaller than the sum of its proper divisors (30208117192944).

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

12001202202000 is a wasteful number, since it uses less digits than its factorization.

12001202202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181836434 (or 181836418 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12001202202000 its reverse (20220210021), we get a palindrome (12021422412021).

The spelling of 12001202202000 in words is "twelve trillion, one billion, two hundred two million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 181836397 363672794 545509191 727345588 909181985 1091018382 1454691176 1818363970 2000200367 2182036764 2727545955 2909382352 3636727940 4000400734 4364073528 4545909925 5455091910 6000601101 7273455880 8000801468 8728147056 9091819850 10001001835 10910183820 12001202202 13637729775 14546911760 16001602936 18183639700 20002003670 21820367640 22729549625 24002404404 27275459550 30003005505 32003205872 36367279400 40004007340 43640735280 45459099250 48004808808 50005009175 54550919100 60006011010 68188648875 72734558800 80008014680 90918198500 96009617616 100010018350 109101838200 120012022020 136377297750 150015027525 160016029360 181836397000 200020036700 218203676400 240024044040 250025045875 272754595500 300030055050 363672794000 400040073400 480048088080 500050091750 545509191000 600060110100 750075137625 800080146800 1000100183500 1091018382000 1200120220200 1500150275250 2000200367000 2400240440400 3000300550500 4000400734000 6000601101000 12001202202000