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12200002020001 is a prime number
BaseRepresentation
bin1011000110001000100011…
…0010010110001010100001
31121012022100010011102012201
42301202020302112022201
53044341101004120001
641540334211253201
72366264265101515
oct261421062261241
947168303142181
1012200002020001
113983aa00a5724
121450537baa201
136a65bc268313
143026aa068145
1516253b643501
hexb1888c962a1

12200002020001 has 2 divisors, whose sum is σ = 12200002020002. Its totient is φ = 12200002020000.

The previous prime is 12200002019981. The next prime is 12200002020023. The reversal of 12200002020001 is 10002020000221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10946999390625 + 1253002629376 = 3308625^2 + 1119376^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12200002020001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12200002020001.

It is not a weakly prime, because it can be changed into another prime (12200002026001) 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 as a sum of consecutive naturals, namely, 6100001010000 + 6100001010001.

It is an arithmetic number, because the mean of its divisors is an integer number (6100001010001).

Almost surely, 212200002020001 is an apocalyptic number.

It is an amenable number.

12200002020001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200002020001 is an equidigital number, since it uses as much as digits as its factorization.

12200002020001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12200002020001 its reverse (10002020000221), we get a palindrome (22202022020222).

The spelling of 12200002020001 in words is "twelve trillion, two hundred billion, two million, twenty thousand, one".