Search a number
-
+
121021212002112 = 2632252618317417
BaseRepresentation
bin11011100001000101110010…
…010110100000011101000000
3120212111111220100022211000100
4123201011302112200131000
5111330302420233031422
61105220213254122400
734330331311034022
oct3341056226403500
9525444810284010
10121021212002112
1135619898182264
12116a687b050400
13526b336207546
1421c565a734012
15ded08d2447ac
hex6e11725a0740

121021212002112 has 84 divisors (see below), whose sum is σ = 346899226914916. Its totient is φ = 40338802206720.

The previous prime is 121021212002099. The next prime is 121021212002129. The reversal of 121021212002112 is 211200212120121.

121021212002112 is a `hidden beast` number, since 1 + 210 + 21 + 21 + 200 + 211 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68428895774976 + 52592316227136 = 8272176^2 + 7252056^2 .

It is a super-2 number, since 2×1210212120021122 (a number of 29 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10391628 + ... + 18709044.

Almost surely, 2121021212002112 is an apocalyptic number.

121021212002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121021212002112 is an abundant number, since it is smaller than the sum of its proper divisors (225878014912804).

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

121021212002112 is a wasteful number, since it uses less digits than its factorization.

121021212002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8342696 (or 8342683 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121021212002112 its reverse (211200212120121), we get a palindrome (332221424122233).

The spelling of 121021212002112 in words is "one hundred twenty-one trillion, twenty-one billion, two hundred twelve million, two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 25261 50522 75783 101044 151566 202088 227349 303132 404176 454698 606264 808352 909396 1212528 1616704 1818792 2425056 3637584 4850112 7275168 8317417 14550336 16634834 24952251 33269668 49904502 66539336 74856753 99809004 133078672 149713506 199618008 266157344 299427012 399236016 532314688 598854024 798472032 1197708048 1596944064 2395416096 4790832192 210106270837 420212541674 630318812511 840425083348 1260637625022 1680850166696 1890956437533 2521275250044 3361700333392 3781912875066 5042550500088 6723400666784 7563825750132 10085101000176 13446801333568 15127651500264 20170202000352 30255303000528 40340404000704 60510606001056 121021212002112