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12241111212330 = 235721113199292627
BaseRepresentation
bin1011001000100001101100…
…0101011110000100101010
31121100020110002100202112120
42302020123011132010222
53101024243432243310
642011253332052110
72402251101342300
oct262103305360452
947306402322476
1012241111212330
11399a476177340
1214584ab464036
136aa4410695b0
14304689a88270
151636456c9b70
hexb221b15e12a

12241111212330 has 384 divisors, whose sum is σ = 40351762483200. Its totient is φ = 2336138703360.

The previous prime is 12241111212271. The next prime is 12241111212331. The reversal of 12241111212330 is 3321211114221.

It is a self number, because there is not a number n which added to its sum of digits gives 12241111212330.

It is not an unprimeable number, because it can be changed into a prime (12241111212331) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 41685477 + ... + 41978103.

It is an arithmetic number, because the mean of its divisors is an integer number (105082714800).

Almost surely, 212241111212330 is an apocalyptic number.

12241111212330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12241111212330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20175881241600).

12241111212330 is an abundant number, since it is smaller than the sum of its proper divisors (28110651270870).

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

12241111212330 is a wasteful number, since it uses less digits than its factorization.

12241111212330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292874 (or 292867 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 12241111212330 its reverse (3321211114221), we get a palindrome (15562322326551).

The spelling of 12241111212330 in words is "twelve trillion, two hundred forty-one billion, one hundred eleven million, two hundred twelve thousand, three hundred thirty".