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12032114634540 = 2232571113371804819
BaseRepresentation
bin1010111100010111000111…
…1010110010111100101100
31120121020222202102120102100
42233011301322302330230
53034113232321301130
641331251022055100
72351202005626440
oct257056172627454
946536882376370
1012032114634540
113919878042090
121423aa2a1a490
13693814bc7a10
142d8500c02820
1515ceb2502c60
hexaf171eb2f2c

12032114634540 has 576 divisors, whose sum is σ = 50327968803840. Its totient is φ = 2245482362880.

The previous prime is 12032114634521. The next prime is 12032114634569. The reversal of 12032114634540 is 4543641123021.

12032114634540 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 2 + 1 + 14 + 634 + 5 + 4 + 0 = 666.

It is a super-2 number, since 2×120321146345402 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12032114634495 and 12032114634504.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5764251 + ... + 7569069.

It is an arithmetic number, because the mean of its divisors is an integer number (87374945840).

Almost surely, 212032114634540 is an apocalyptic number.

12032114634540 is a gapful number since it is divisible by the number (10) 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 12032114634540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25163984401920).

12032114634540 is an abundant number, since it is smaller than the sum of its proper divisors (38295854169300).

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

12032114634540 is a wasteful number, since it uses less digits than its factorization.

12032114634540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804902 (or 1804897 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 12032114634540 its reverse (4543641123021), we get a palindrome (16575755757561).

The spelling of 12032114634540 in words is "twelve trillion, thirty-two billion, one hundred fourteen million, six hundred thirty-four thousand, five hundred forty".