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2012211122012 = 2271347162172559
BaseRepresentation
bin11101010010000001001…
…000010000111101011100
321010100212110020010021022
4131102001020100331130
5230432002021401022
64140221431423312
7265243316220620
oct35220110207534
97110773203238
102012211122012
117064127a1563
12285b91524b38
1311799b378660
146d56a547180
1537520052c42
hex1d481210f5c

2012211122012 has 96 divisors (see below), whose sum is σ = 4428997386240. Its totient is φ = 778611191040.

The previous prime is 2012211122011. The next prime is 2012211122017. The reversal of 2012211122012 is 2102211122102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012211122011) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 27695789 + ... + 27768347.

It is an arithmetic number, because the mean of its divisors is an integer number (46135389440).

Almost surely, 22012211122012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012211122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214498693120).

2012211122012 is an abundant number, since it is smaller than the sum of its proper divisors (2416786264228).

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

2012211122012 is a wasteful number, since it uses less digits than its factorization.

2012211122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74251 (or 74249 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2012211122012 its reverse (2102211122102), we get a palindrome (4114422244114).

The spelling of 2012211122012 in words is "two trillion, twelve billion, two hundred eleven million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 47 52 91 94 182 188 329 364 611 658 1222 1316 1621 2444 3242 4277 6484 8554 11347 17108 21073 22694 42146 45388 72559 76187 84292 145118 147511 152374 290236 295022 304748 507913 533309 590044 943267 990431 1015826 1066618 1886534 1980862 2031652 2133236 3410273 3773068 3961724 6602869 6820546 6933017 13205738 13641092 13866034 23871911 26411476 27732068 44333549 47743822 88667098 95487644 117618139 177334196 235236278 310334843 470472556 620669686 823326973 1241339372 1529035807 1646653946 3058071614 3293307892 5528052533 6116143228 10703250649 11056105066 21406501298 22112210132 38696367731 42813002596 71864682929 77392735462 143729365858 154785470924 287458731716 503052780503 1006105561006 2012211122012