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121021122012 = 223724111935011
BaseRepresentation
bin111000010110101101…
…0111100010111011100
3102120101011120222120020
41300231122330113130
53440322401401022
6131332450352140
711513005364340
oct1605532742734
9376334528506
10121021122012
11473632a520a
121b55588b650
13b54890b58b
145c00bd1620
15323495a35c
hex1c2d6bc5dc

121021122012 has 96 divisors (see below), whose sum is σ = 324398452224. Its totient is φ = 34398259200.

The previous prime is 121021121957. The next prime is 121021122049. The reversal of 121021122012 is 210221120121.

121021122012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1210211220122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121021121982 and 121021122000.

It is a congruent number.

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, 24148587 + ... + 24153597.

It is an arithmetic number, because the mean of its divisors is an integer number (3379150544).

Almost surely, 2121021122012 is an apocalyptic number.

121021122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121021122012 is an abundant number, since it is smaller than the sum of its proper divisors (203377330212).

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

121021122012 is a wasteful number, since it uses less digits than its factorization.

121021122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6459 (or 6457 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121021122012 its reverse (210221120121), we get a palindrome (331242242133).

The spelling of 121021122012 in words is "one hundred twenty-one billion, twenty-one million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 241 482 723 964 1193 1446 1687 2386 2892 3374 3579 4772 5011 5061 6748 7158 8351 10022 10122 14316 15033 16702 20044 20244 25053 30066 33404 35077 50106 60132 70154 100212 105231 140308 210462 287513 420924 575026 862539 1150052 1207651 1725078 2012591 2415302 3450156 3622953 4025182 4830604 5978123 6037773 7245906 8050364 8453557 11956246 12075546 14491812 16907114 17934369 23912492 24151092 25360671 33814228 35868738 41846861 50721342 71737476 83693722 101442684 125540583 167387444 251081166 502162332 1440727643 2881455286 4322182929 5762910572 8644365858 10085093501 17288731716 20170187002 30255280503 40340374004 60510561006 121021122012