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21220144000000 = 2105611120569
BaseRepresentation
bin1001101001100101100110…
…01001010010110000000000
32210010121220022122211202021
410310302303021102300000
510240132323331000000
6113044222150331224
74320050643631621
oct464626311226000
983117808584667
1021220144000000
11684145a097510
122468733359b14
13bac08805426a
145350bbc33a48
1526beb828411a
hex134cb3252c00

21220144000000 has 308 divisors, whose sum is σ = 57844600985880. Its totient is φ = 7716352000000.

The previous prime is 21220143999997. The next prime is 21220144000043. The reversal of 21220144000000 is 44102212.

It is a super-2 number, since 2×212201440000002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 175939716 + ... + 176060284.

Almost surely, 221220144000000 is an apocalyptic number.

21220144000000 is a gapful number since it is divisible by the number (20) 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 21220144000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28922300492940).

21220144000000 is an abundant number, since it is smaller than the sum of its proper divisors (36624456985880).

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

21220144000000 is an frugal number, since it uses more digits than its factorization.

21220144000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120630 (or 120587 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21220144000000 its reverse (44102212), we get a palindrome (21220188102212).

The spelling of 21220144000000 in words is "twenty-one trillion, two hundred twenty billion, one hundred forty-four million", and thus it is an aban number.