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12021001112100 = 2235283482771129
BaseRepresentation
bin1010111011101101101110…
…0000000100101000100100
31120120012022020101010200010
42232323123200010220210
53033423002241041400
641322212140450220
72350326420351411
oct256733340045044
946505266333603
1012021001112100
1139150948171a2
121421900b49970
13692763603936
142d7b68c21108
1515ca619dc450
hexaeedb804a24

12021001112100 has 72 divisors (see below), whose sum is σ = 35199808630560. Its totient is φ = 3166978599680.

The previous prime is 12021001112059. The next prime is 12021001112119. The reversal of 12021001112100 is 121110012021.

It is a super-3 number, since 3×120210011121003 (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241360665 + ... + 241410464.

It is an arithmetic number, because the mean of its divisors is an integer number (488886230980).

Almost surely, 212021001112100 is an apocalyptic number.

12021001112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021001112100 is an abundant number, since it is smaller than the sum of its proper divisors (23178807518460).

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

12021001112100 is a wasteful number, since it uses less digits than its factorization.

12021001112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482771229 (or 482771222 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12021001112100 its reverse (121110012021), we get a palindrome (12142111124121).

The spelling of 12021001112100 in words is "twelve trillion, twenty-one billion, one million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 830 996 1245 1660 2075 2490 4150 4980 6225 8300 12450 24900 482771129 965542258 1448313387 1931084516 2413855645 2896626774 4827711290 5793253548 7241566935 9655422580 12069278225 14483133870 24138556450 28966267740 36207834675 40070003707 48277112900 72415669350 80140007414 120210011121 144831338700 160280014828 200350018535 240420022242 400700037070 480840044484 601050055605 801400074140 1001750092675 1202100111210 2003500185350 2404200222420 3005250278025 4007000370700 6010500556050 12021001112100