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2012112140112 = 243343108317837
BaseRepresentation
bin11101010001111011001…
…110101011011101010000
321010100121112222022122000
4131101323032223131100
5230431301201440422
64140203534114000
7265241004665634
oct35217316533520
97110545868560
102012112140112
11706371935a38
12285b6434b900
13117983a00399
146d55b33cdc4
15375164eecac
hex1d47b3ab750

2012112140112 has 80 divisors (see below), whose sum is σ = 5909821241280. Its totient is φ = 655106272128.

The previous prime is 2012112140057. The next prime is 2012112140113. The reversal of 2012112140112 is 2110412112102.

2012112140112 is a `hidden beast` number, since 20 + 1 + 211 + 21 + 401 + 12 = 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 (2012112140113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 54140343 + ... + 54177494.

It is an arithmetic number, because the mean of its divisors is an integer number (73872765516).

Almost surely, 22012112140112 is an apocalyptic number.

It is an amenable number.

2012112140112 is an abundant number, since it is smaller than the sum of its proper divisors (3897709101168).

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

2012112140112 is a wasteful number, since it uses less digits than its factorization.

2012112140112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108317897 (or 108317885 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2012112140112 its reverse (2110412112102), we get a palindrome (4122524252214).

The spelling of 2012112140112 in words is "two trillion, twelve billion, one hundred twelve million, one hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 688 774 1032 1161 1548 2064 2322 3096 4644 6192 9288 18576 108317837 216635674 324953511 433271348 649907022 866542696 974860533 1299814044 1733085392 1949721066 2599628088 2924581599 3899442132 4657666991 5199256176 5849163198 7798884264 9315333982 11698326396 13973000973 15597768528 18630667964 23396652792 27946001946 37261335928 41919002919 46793305584 55892003892 74522671856 83838005838 111784007784 125757008757 167676011676 223568015568 251514017514 335352023352 503028035028 670704046704 1006056070056 2012112140112