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21212122200000 = 2635537955501
BaseRepresentation
bin1001101001010110101010…
…00000100011011111000000
32210002212012021020011212120
410310223111000203133000
510240014411240400000
6113040414151324240
74316345106514614
oct464532500433700
983085167204776
1021212122200000
116839012a8a436
122467074980680
13bab3aa14a644
1453495a6d3344
1526bb98dce6a0
hex134ad50237c0

21212122200000 has 336 divisors, whose sum is σ = 72046211434848. Its totient is φ = 5503680000000.

The previous prime is 21212122199999. The next prime is 21212122200001. The reversal of 21212122200000 is 222121212.

It is an interprime number because it is at equal distance from previous prime (21212122199999) and next prime (21212122200001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212122200001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 21722250 + ... + 22677750.

It is an arithmetic number, because the mean of its divisors is an integer number (214423248318).

Almost surely, 221212122200000 is an apocalyptic number.

21212122200000 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 21212122200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36023105717424).

21212122200000 is an abundant number, since it is smaller than the sum of its proper divisors (50834089234848).

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

21212122200000 is an frugal number, since it uses more digits than its factorization.

21212122200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955578 (or 955548 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21212122200000 its reverse (222121212), we get a palindrome (21212344321212).

The spelling of 21212122200000 in words is "twenty-one trillion, two hundred twelve billion, one hundred twenty-two million, two hundred thousand".