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11212000110012 = 223131719613647759
BaseRepresentation
bin1010001100100111111101…
…0010001010010110111100
31110200212010120021010001210
42203021333102022112330
52432144134012010022
635502415521404420
72235016546322652
oct243117722122674
943625116233053
1011212000110012
113632a898473a9
121310b64199710
13634396915b30
142aa9412a2dd2
151469b33c1a0c
hexa327f48a5bc

11212000110012 has 192 divisors, whose sum is σ = 31915857254400. Its totient is φ = 3025596395520.

The previous prime is 11212000110007. The next prime is 11212000110049. The reversal of 11212000110012 is 21001100021211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 11212000110012.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1249789 + ... + 4897547.

It is an arithmetic number, because the mean of its divisors is an integer number (166228423200).

Almost surely, 211212000110012 is an apocalyptic number.

11212000110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212000110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15957928627200).

11212000110012 is an abundant number, since it is smaller than the sum of its proper divisors (20703857144388).

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

11212000110012 is a wasteful number, since it uses less digits than its factorization.

11212000110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647876 (or 3647874 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11212000110012 its reverse (21001100021211), we get a palindrome (32213100131223).

The spelling of 11212000110012 in words is "eleven trillion, two hundred twelve billion, one hundred ten thousand, twelve".