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12120033332232 = 233378015895061
BaseRepresentation
bin1011000001011110101001…
…0010000000110000001000
31120220122220221222011112000
42300113222102000300020
53042033312013112412
641435511052551000
72360433503342310
oct260275222006010
946818827864460
1012120033332232
113953093935a21
121438b3a782460
1369bbb6777867
142dc881520440
1516040acac4dc
hexb05ea480c08

12120033332232 has 64 divisors (see below), whose sum is σ = 38476296297600. Its totient is φ = 3462866665920.

The previous prime is 12120033332207. The next prime is 12120033332237. The reversal of 12120033332232 is 23223333002121.

12120033332232 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 0 + 0 + 333 + 322 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12120033332196 and 12120033332205.

It is not an unprimeable number, because it can be changed into a prime (12120033332237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4007946019 + ... + 4007949042.

It is an arithmetic number, because the mean of its divisors is an integer number (601192129650).

Almost surely, 212120033332232 is an apocalyptic number.

12120033332232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12120033332232 is an abundant number, since it is smaller than the sum of its proper divisors (26356262965368).

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

12120033332232 is a wasteful number, since it uses less digits than its factorization.

12120033332232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8015895083 (or 8015895073 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 12120033332232 its reverse (23223333002121), we get a palindrome (35343366334353).

The spelling of 12120033332232 in words is "twelve trillion, one hundred twenty billion, thirty-three million, three hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 8015895061 16031790122 24047685183 32063580244 48095370366 56111265427 64127160488 72143055549 96190740732 112222530854 144286111098 168333796281 192381481464 216429166647 224445061708 288572222196 336667592562 432858333294 448890123416 505001388843 577144444392 673335185124 865716666588 1010002777686 1346670370248 1515004166529 1731433333176 2020005555372 3030008333058 4040011110744 6060016666116 12120033332232