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11212010110112 = 2571071193392113
BaseRepresentation
bin1010001100100111111111…
…1000010011110010100000
31110200212011021002011121212
42203021333320103302200
52432144144042010422
635502420520005252
72235020030322530
oct243117770236240
943625137064555
1011212010110112
113632a94457649
121310b67600828
13634398a07756
142aa9427474c0
151469b41e99e2
hexa327fe13ca0

11212010110112 has 96 divisors (see below), whose sum is σ = 25484197802112. Its totient is φ = 4756237000704.

The previous prime is 11212010110087. The next prime is 11212010110121. The reversal of 11212010110112 is 21101101021211.

11212010110112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28397768 + ... + 28789880.

It is an arithmetic number, because the mean of its divisors is an integer number (265460393772).

Almost surely, 211212010110112 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 11212010110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12742098901056).

11212010110112 is an abundant number, since it is smaller than the sum of its proper divisors (14272187692000).

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

11212010110112 is a wasteful number, since it uses less digits than its factorization.

11212010110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393430 (or 393422 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11212010110112 its reverse (21101101021211), we get a palindrome (32313111131323).

The spelling of 11212010110112 in words is "eleven trillion, two hundred twelve billion, ten million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 107 112 214 224 428 749 856 1193 1498 1712 2386 2996 3424 4772 5992 8351 9544 11984 16702 19088 23968 33404 38176 66808 127651 133616 255302 267232 392113 510604 784226 893557 1021208 1568452 1787114 2042416 2744791 3136904 3574228 4084832 5489582 6273808 7148456 10979164 12547616 14296912 21958328 28593824 41956091 43916656 83912182 87833312 167824364 293692637 335648728 467790809 587385274 671297456 935581618 1174770548 1342594912 1871163236 2349541096 3274535663 3742326472 4699082192 6549071326 7484652944 9398164384 13098142652 14969305888 26196285304 50053616563 52392570608 100107233126 104785141216 200214466252 350375315941 400428932504 700750631882 800857865008 1401501263764 1601715730016 2803002527528 5606005055056 11212010110112