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12203609712 = 2437192922273
BaseRepresentation
bin10110101110110010…
…00100111001110000
31011111111020121100220
423113121010321300
5144443111002322
65334541413040
7611262654030
oct132731047160
934444217326
1012203609712
1151a268a668
122446b6a180
1311c63b3b48
1483aa9d8c0
154b658e55c
hex2d7644e70

12203609712 has 240 divisors, whose sum is σ = 39296175360. Its totient is φ = 3187924992.

The previous prime is 12203609611. The next prime is 12203609771. The reversal of 12203609712 is 21790630221.

12203609712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5367808 + ... + 5370080.

It is an arithmetic number, because the mean of its divisors is an integer number (163734064).

Almost surely, 212203609712 is an apocalyptic number.

12203609712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12203609712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19648087680).

12203609712 is an abundant number, since it is smaller than the sum of its proper divisors (27092565648).

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

12203609712 is a wasteful number, since it uses less digits than its factorization.

12203609712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 12203609712 in words is "twelve billion, two hundred three million, six hundred nine thousand, seven hundred twelve".