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11212341226000 = 245345671227539
BaseRepresentation
bin1010001100101001001110…
…0111011010101000010000
31110200220000100010121020021
42203022103213122220100
52432200333323213000
635502513424553224
72235031160626135
oct243122347325020
943626010117207
1011212341226000
113633144353942
12131103a482814
1363441c4ab405
142aa9746da58c
151469d330311a
hexa32939daa10

11212341226000 has 80 divisors (see below), whose sum is σ = 27117399553920. Its totient is φ = 4483950806400.

The previous prime is 11212341225949. The next prime is 11212341226049. The reversal of 11212341226000 is 62214321211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8520231 + ... + 9747769.

It is an arithmetic number, because the mean of its divisors is an integer number (338967494424).

Almost surely, 211212341226000 is an apocalyptic number.

11212341226000 is a gapful number since it is divisible by the number (10) 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 11212341226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13558699776960).

11212341226000 is an abundant number, since it is smaller than the sum of its proper divisors (15905058327920).

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

11212341226000 is a wasteful number, since it uses less digits than its factorization.

11212341226000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232129 (or 1232113 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 11212341226000 its reverse (62214321211), we get a palindrome (11274555547211).

The spelling of 11212341226000 in words is "eleven trillion, two hundred twelve billion, three hundred forty-one million, two hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 4567 9134 18268 22835 36536 45670 73072 91340 114175 182680 228350 365360 456700 570875 913400 1141750 1227539 1826800 2283500 2455078 4567000 4910156 6137695 9134000 9820312 12275390 19640624 24550780 30688475 49101560 61376950 98203120 122753900 153442375 245507800 306884750 491015600 613769500 1227539000 2455078000 5606170613 11212341226 22424682452 28030853065 44849364904 56061706130 89698729808 112123412260 140154265325 224246824520 280308530650 448493649040 560617061300 700771326625 1121234122600 1401542653250 2242468245200 2803085306500 5606170613000 11212341226000