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12012112125321 = 3711101514856291
BaseRepresentation
bin1010111011001100100110…
…1011010001110110001001
31120112100100202011211011120
42232303021223101312021
53033301301201002241
641314142122545453
72346563223252150
oct256631153216611
946470322154146
1012012112125321
113911343159930
121420040068289
13691977b51c49
142d7564466597
1515c6e143d666
hexaecc9ad1d89

12012112125321 has 32 divisors (see below), whose sum is σ = 20165891245056. Its totient is φ = 6178275480000.

The previous prime is 12012112125319. The next prime is 12012112125353. The reversal of 12012112125321 is 12352121121021.

It is not a de Polignac number, because 12012112125321 - 21 = 12012112125319 is a prime.

It is a super-3 number, since 3×120121121253213 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12012112125291 and 12012112125300.

It is not an unprimeable number, because it can be changed into a prime (12012112125121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257404815 + ... + 257451476.

It is an arithmetic number, because the mean of its divisors is an integer number (630184101408).

Almost surely, 212012112125321 is an apocalyptic number.

12012112125321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12012112125321 is a deficient number, since it is larger than the sum of its proper divisors (8153779119735).

12012112125321 is a wasteful number, since it uses less digits than its factorization.

12012112125321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514856413.

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 12012112125321 its reverse (12352121121021), we get a palindrome (24364233246342).

The spelling of 12012112125321 in words is "twelve trillion, twelve billion, one hundred twelve million, one hundred twenty-five thousand, three hundred twenty-one".

Divisors: 1 3 7 11 21 33 77 101 231 303 707 1111 2121 3333 7777 23331 514856291 1544568873 3603994037 5663419201 10811982111 16990257603 39643934407 52000485391 118931803221 156001456173 364003397737 572005339301 1092010193211 1716016017903 4004037375107 12012112125321