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21020021222000 = 2453295379101857
BaseRepresentation
bin1001100011110000110101…
…11001011110101001110000
32202102111100102100101111112
410301320122321132221300
510223343000413101000
6112412244152532452
74266434502243353
oct461703271365160
982374312311445
1021020021222000
1167745a4a97399
1224359a26b1128
13b962444778a8
1452953571229a
15266ba415b235
hex131e1ae5ea70

21020021222000 has 640 divisors, whose sum is σ = 54850267929600. Its totient is φ = 7777136640000.

The previous prime is 21020021221987. The next prime is 21020021222003. The reversal of 21020021222000 is 22212002012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21020021222003) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 24527445572 + ... + 24527446428.

It is an arithmetic number, because the mean of its divisors is an integer number (85703543640).

Almost surely, 221020021222000 is an apocalyptic number.

21020021222000 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 21020021222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27425133964800).

21020021222000 is an abundant number, since it is smaller than the sum of its proper divisors (33830246707600).

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

21020021222000 is a wasteful number, since it uses less digits than its factorization.

21020021222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 21020021222000 its reverse (22212002012), we get a palindrome (21042233224012).

The spelling of 21020021222000 in words is "twenty-one trillion, twenty billion, twenty-one million, two hundred twenty-two thousand".