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20020001122200 = 23352233833787793
BaseRepresentation
bin1001000110101010001010…
…00011100010011110011000
32121212220010022002210021110
410203111011003202132120
510111001430241402300
6110325021143340320
74134253201531332
oct443250503423630
977786108083243
1020020001122200
1164194867931a2
1222b4015a516a0
13b22b54c923a1
144d2d8a756452
1524ab75c74550
hex1235450e2798

20020001122200 has 192 divisors, whose sum is σ = 64929455677440. Its totient is φ = 5093216634880.

The previous prime is 20020001122189. The next prime is 20020001122369. The reversal of 20020001122200 is 222110002002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3391504 + ... + 7179296.

It is an arithmetic number, because the mean of its divisors is an integer number (338174248320).

Almost surely, 220020001122200 is an apocalyptic number.

20020001122200 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 20020001122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32464727838720).

20020001122200 is an abundant number, since it is smaller than the sum of its proper divisors (44909454555240).

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

20020001122200 is a wasteful number, since it uses less digits than its factorization.

20020001122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3788218 (or 3788209 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20020001122200 its reverse (222110002002), we get a palindrome (20242111124202).

The spelling of 20020001122200 in words is "twenty trillion, twenty billion, one million, one hundred twenty-two thousand, two hundred".