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12133303121232 = 2432104878034619
BaseRepresentation
bin1011000010010000000100…
…1110001111010101010000
31120221221011202102021220200
42300210001032033111100
53042243001044334412
641445543522335200
72361413363601636
oct260440116172520
946857152367820
1012133303121232
11395878332a897
12143b6227ba500
136a021c9ca307
142dd37da37356
15160935c519dc
hexb090138f550

12133303121232 has 60 divisors (see below), whose sum is σ = 33959639107680. Its totient is φ = 4044048208704.

The previous prime is 12133303121213. The next prime is 12133303121293. The reversal of 12133303121232 is 23212130333121.

12133303121232 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 3 + 303 + 121 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12133303121196 and 12133303121205.

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 11 ways as a sum of consecutive naturals, for example, 2507182 + ... + 5527437.

It is an arithmetic number, because the mean of its divisors is an integer number (565993985128).

Almost surely, 212133303121232 is an apocalyptic number.

12133303121232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12133303121232 is an abundant number, since it is smaller than the sum of its proper divisors (21826335986448).

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

12133303121232 is a wasteful number, since it uses less digits than its factorization.

12133303121232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8045120 (or 8045111 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12133303121232 its reverse (23212130333121), we get a palindrome (35345433454353).

The spelling of 12133303121232 in words is "twelve trillion, one hundred thirty-three billion, three hundred three million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 10487 20974 31461 41948 62922 83896 94383 125844 167792 188766 251688 377532 503376 755064 1510128 8034619 16069238 24103857 32138476 48207714 64276952 72311571 96415428 128553904 144623142 192830856 289246284 385661712 578492568 1156985136 84259049453 168518098906 252777148359 337036197812 505554296718 674072395624 758331445077 1011108593436 1348144791248 1516662890154 2022217186872 3033325780308 4044434373744 6066651560616 12133303121232