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21201222112200 = 233352131091276821
BaseRepresentation
bin1001101001000010010110…
…10100000001001111001000
32210001211001121210100102000
410310201023110001033020
510234330100330042300
6113031412412511000
74315511022350154
oct464411324011710
983054047710360
1021201222112200
11683442a193109
122464b3247b460
13baa360b35850
14534204bd0064
1526b75bec8c00
hex13484b5013c8

21201222112200 has 384 divisors, whose sum is σ = 78716218089600. Its totient is φ = 5213960064000.

The previous prime is 21201222112171. The next prime is 21201222112207. The reversal of 21201222112200 is 221122210212.

It is a happy number.

21201222112200 is a `hidden beast` number, since 21 + 201 + 2 + 221 + 1 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21201222112207) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 76449790 + ... + 76726610.

It is an arithmetic number, because the mean of its divisors is an integer number (204990151275).

Almost surely, 221201222112200 is an apocalyptic number.

21201222112200 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 21201222112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39358109044800).

21201222112200 is an abundant number, since it is smaller than the sum of its proper divisors (57514995977400).

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

21201222112200 is a wasteful number, since it uses less digits than its factorization.

21201222112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277950 (or 277935 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21201222112200 its reverse (221122210212), we get a palindrome (21422344322412).

The spelling of 21201222112200 in words is "twenty-one trillion, two hundred one billion, two hundred twenty-two million, one hundred twelve thousand, two hundred".