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120013213212 = 223222379718757
BaseRepresentation
bin110111111000101011…
…0000100111000011100
3102110202221000220121200
41233301112010320130
53431241340310322
6131044443355500
711446016323614
oct1576126047034
9373687026550
10120013213212
114699636a432
121b314222b90
13b417b62639
145b46dc5a44
1531c62158ac
hex1bf1584e1c

120013213212 has 72 divisors (see below), whose sum is σ = 305125731456. Its totient is φ = 39772923264.

The previous prime is 120013213189. The next prime is 120013213217. The reversal of 120013213212 is 212312310021.

120013213212 is a `hidden beast` number, since 1 + 20 + 0 + 1 + 321 + 321 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120013213217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6388938 + ... + 6407694.

Almost surely, 2120013213212 is an apocalyptic number.

120013213212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120013213212 is an abundant number, since it is smaller than the sum of its proper divisors (185112518244).

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

120013213212 is a wasteful number, since it uses less digits than its factorization.

120013213212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19787 (or 19782 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120013213212 its reverse (212312310021), we get a palindrome (332325523233).

The spelling of 120013213212 in words is "one hundred twenty billion, thirteen million, two hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 223 446 669 797 892 1338 1594 2007 2391 2676 3188 4014 4782 7173 8028 9564 14346 18757 28692 37514 56271 75028 112542 168813 177731 225084 337626 355462 533193 675252 710924 1066386 1599579 2132772 3199158 4182811 6398316 8365622 12548433 14949329 16731244 25096866 29898658 37645299 44847987 50193732 59797316 75290598 89695974 134543961 150581196 179391948 269087922 538175844 3333700367 6667400734 10001101101 13334801468 20002202202 30003303303 40004404404 60006606606 120013213212