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21220122220000 = 2554111011994799
BaseRepresentation
bin1001101001100101100011…
…10110001101010111100000
32210010121211210200022012121
410310302301312031113200
510240132302242020000
6113044220051434024
74320050260540234
oct464626166152740
983117753608177
1021220122220000
116841448870910
122468727bb5914
13bac0836998a2
145350b8da45c4
1526beb63d0b1a
hex134cb1d8d5e0

21220122220000 has 480 divisors, whose sum is σ = 57815493120000. Its totient is φ = 7600032000000.

The previous prime is 21220122219997. The next prime is 21220122220007. The reversal of 21220122220000 is 2222102212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220122220007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4421777601 + ... + 4421782399.

It is an arithmetic number, because the mean of its divisors is an integer number (120448944000).

Almost surely, 221220122220000 is an apocalyptic number.

21220122220000 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 21220122220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28907746560000).

21220122220000 is an abundant number, since it is smaller than the sum of its proper divisors (36595370900000).

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

21220122220000 is a wasteful number, since it uses less digits than its factorization.

21220122220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5140 (or 5117 counting only the distinct ones).

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

Adding to 21220122220000 its reverse (2222102212), we get a palindrome (21222344322212).

The spelling of 21220122220000 in words is "twenty-one trillion, two hundred twenty billion, one hundred twenty-two million, two hundred twenty thousand".