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20022000001200 = 2434521132954547
BaseRepresentation
bin1001000110101101111000…
…01100101010000010110000
32121220002021121100100210000
410203112330030222002300
510111020024000014300
6110325551350310000
74134353552654031
oct443267414520260
977802247310700
1020022000001200
11641a31203460a
1222b4493358300
13b230b3136422
144d30d9ddca88
1524ac414b4c00
hex1235bc32a0b0

20022000001200 has 300 divisors, whose sum is σ = 71865011544040. Its totient is φ = 5338630840320.

The previous prime is 20022000001181. The next prime is 20022000001243. The reversal of 20022000001200 is 210000022002.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 367032327 + ... + 367086873.

Almost surely, 220022000001200 is an apocalyptic number.

20022000001200 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 20022000001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35932505772020).

20022000001200 is an abundant number, since it is smaller than the sum of its proper divisors (51843011542840).

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

20022000001200 is a wasteful number, since it uses less digits than its factorization.

20022000001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65906 (or 65886 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20022000001200 its reverse (210000022002), we get a palindrome (20232000023202).

The spelling of 20022000001200 in words is "twenty trillion, twenty-two billion, one thousand, two hundred".