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112012122020121 = 32128368231421741
BaseRepresentation
bin11001011101111111011010…
…101111100101100100011001
3112200121020212101010001120100
4121131333122233211210121
5104140201311214120441
61034121354121450013
732410415542505301
oct3135773257454431
9480536771101510
10112012122020121
113276608a804124
1210690849040909
134a6690c0508ab
141d935b66d2601
15ce3a5ba14cb6
hex65dfdabe5919

112012122020121 has 24 divisors (see below), whose sum is σ = 161945239974336. Its totient is φ = 74605556273760.

The previous prime is 112012122020107. The next prime is 112012122020167. The reversal of 112012122020121 is 121020221210211.

112012122020121 is a `hidden beast` number, since 1 + 1 + 201 + 21 + 220 + 201 + 21 = 666.

It is not a de Polignac number, because 112012122020121 - 210 = 112012122019097 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112012122020094 and 112012122020103.

It is not an unprimeable number, because it can be changed into a prime (112012122020221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78074311 + ... + 79496051.

It is an arithmetic number, because the mean of its divisors is an integer number (6747718332264).

Almost surely, 2112012122020121 is an apocalyptic number.

It is an amenable number.

112012122020121 is a deficient number, since it is larger than the sum of its proper divisors (49933117954215).

112012122020121 is a wasteful number, since it uses less digits than its factorization.

112012122020121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429853 (or 1429850 counting only the distinct ones).

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

Adding to 112012122020121 its reverse (121020221210211), we get a palindrome (233032343230332).

The spelling of 112012122020121 in words is "one hundred twelve trillion, twelve billion, one hundred twenty-two million, twenty thousand, one hundred twenty-one".

Divisors: 1 3 9 1283 3849 6823 11547 20469 61407 1421741 4265223 8753909 12795669 26261727 78785181 1824093703 5472281109 9700538843 16416843327 29101616529 87304849587 12445791335569 37337374006707 112012122020121