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12102212212000 = 255317177973709
BaseRepresentation
bin1011000000011100010000…
…0011110101010100100000
31120211221220222101110101221
42300013010003311110200
53041240312311241000
641423402440304424
72356233046331461
oct260070403652440
946757828343357
1012102212212000
113946579320589
1214355a6472114
1369a3066182c1
142dba70778d68
1515ec1648a61a
hexb01c40f5520

12102212212000 has 96 divisors (see below), whose sum is σ = 31484261193840. Its totient is φ = 4556126924800.

The previous prime is 12102212211977. The next prime is 12102212212031. The reversal of 12102212212000 is 21221220121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 277994671504 + 11824217540496 = 527252^2 + 3438636^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 88918855 + ... + 89054854.

Almost surely, 212102212212000 is an apocalyptic number.

12102212212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102212212000 is an abundant number, since it is smaller than the sum of its proper divisors (19382048981840).

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

12102212212000 is a wasteful number, since it uses less digits than its factorization.

12102212212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177973751 (or 177973733 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12102212212000 its reverse (21221220121), we get a palindrome (12123433432121).

The spelling of 12102212212000 in words is "twelve trillion, one hundred two billion, two hundred twelve million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 680 800 850 1000 1360 1700 2000 2125 2720 3400 4000 4250 6800 8500 13600 17000 34000 68000 177973709 355947418 711894836 889868545 1423789672 1779737090 2847579344 3025553053 3559474180 4449342725 5695158688 6051106106 7118948360 8898685450 12102212212 14237896720 15127765265 17797370900 22246713625 24204424424 28475793440 30255530530 35594741800 44493427250 48408848848 60511061060 71189483600 75638826325 88986854500 96817697696 121022122120 142378967200 151277652650 177973709000 242044244240 302555305300 355947418000 378194131625 484088488480 605110610600 711894836000 756388263250 1210221221200 1512776526500 2420442442400 3025553053000 6051106106000 12102212212000