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12132443411424 = 2532731792457361
BaseRepresentation
bin1011000010001100110111…
…1110101101001111100000
31120221211221211201111202200
42300203031332231033200
53042234221003131144
641445322332013200
72361353154310230
oct260431576551740
946854854644680
1012132443411424
113958382017116
12143b422901200
136a011386c59b
142dd2db7a7cc0
151608d5532c69
hexb08cdfad3e0

12132443411424 has 288 divisors, whose sum is σ = 41217627709440. Its totient is φ = 3312128102400.

The previous prime is 12132443411383. The next prime is 12132443411453. The reversal of 12132443411424 is 42411434423121.

12132443411424 is a `hidden beast` number, since 1 + 2 + 1 + 32 + 443 + 41 + 142 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3708504 + ... + 6165864.

It is an arithmetic number, because the mean of its divisors is an integer number (143116762880).

Almost surely, 212132443411424 is an apocalyptic number.

12132443411424 is a gapful number since it is divisible by the number (14) 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 12132443411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20608813854720).

12132443411424 is an abundant number, since it is smaller than the sum of its proper divisors (29085184298016).

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

12132443411424 is a wasteful number, since it uses less digits than its factorization.

12132443411424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457494 (or 2457483 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 12132443411424 its reverse (42411434423121), we get a palindrome (54543877834545).

The spelling of 12132443411424 in words is "twelve trillion, one hundred thirty-two billion, four hundred forty-three million, four hundred eleven thousand, four hundred twenty-four".