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12102112222000 = 245345733893907
BaseRepresentation
bin1011000000011011111000…
…0110011001101100110000
31120211221200000020102220121
42300012332012121230300
53041240111212101000
641423344505220024
72356230423410443
oct260067606315460
946757600212817
1012102112222000
113946527936619
121435578a91614
1369a2bb9a9218
142dba6138b65a
1515ec0c7d8b1a
hexb01be199b30

12102112222000 has 160 divisors (see below), whose sum is σ = 29343102010560. Its totient is φ = 4827591014400.

The previous prime is 12102112221973. The next prime is 12102112222019. The reversal of 12102112222000 is 22221120121.

It is a happy number.

It is a super-2 number, since 2×121021122220002 (a number of 27 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3097544047 + ... + 3097547953.

It is an arithmetic number, because the mean of its divisors is an integer number (183394387566).

Almost surely, 212102112222000 is an apocalyptic number.

12102112222000 is a gapful number since it is divisible by the number (10) 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 12102112222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14671551005280).

12102112222000 is an abundant number, since it is smaller than the sum of its proper divisors (17240989788560).

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

12102112222000 is a wasteful number, since it uses less digits than its factorization.

12102112222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7776 (or 7760 counting only the distinct ones).

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

Adding to 12102112222000 its reverse (22221120121), we get a palindrome (12124333342121).

The spelling of 12102112222000 in words is "twelve trillion, one hundred two billion, one hundred twelve million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 457 500 914 1000 1828 2000 2285 3389 3656 3907 4570 6778 7312 7814 9140 11425 13556 15628 16945 18280 19535 22850 27112 31256 33890 36560 39070 45700 54224 57125 62512 67780 78140 84725 91400 97675 114250 135560 156280 169450 182800 195350 228500 271120 312560 338900 390700 423625 457000 488375 677800 781400 847250 914000 976750 1355600 1548773 1562800 1694500 1785499 1953500 3097546 3389000 3570998 3907000 6195092 6778000 7141996 7743865 7814000 8927495 12390184 13240823 14283992 15487730 17854990 24780368 26481646 28567984 30975460 35709980 38719325 44637475 52963292 61950920 66204115 71419960 77438650 89274950 105926584 123901840 132408230 142839920 154877300 178549900 193596625 211853168 223187375 264816460 309754600 331020575 357099800 387193250 446374750 529632920 619509200 662041150 714199600 774386500 892749500 1059265840 1324082300 1548773000 1655102875 1785499000 2648164600 3097546000 3310205750 3570998000 5296329200 6051056111 6620411500 12102112222 13240823000 24204224444 26481646000 30255280555 48408448888 60510561110 96816897776 121021122220 151276402775 242042244440 302552805550 484084488880 605105611100 756382013875 1210211222200 1512764027750 2420422444400 3025528055500 6051056111000 12102112222000