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12200110001921 is a prime number
BaseRepresentation
bin1011000110001000111100…
…1110010000111100000001
31121012022121122100110120002
42301202033032100330001
53044341311130030141
641540353025525345
72366300045656562
oct261421716207401
947168548313502
1012200110001921
113984046049086
1214505681a3855
136a6608744c4a
143026ba536169
15162545d72e9b
hexb188f390f01

12200110001921 has 2 divisors, whose sum is σ = 12200110001922. Its totient is φ = 12200110001920.

The previous prime is 12200110001879. The next prime is 12200110002011. The reversal of 12200110001921 is 12910001100221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11893566177025 + 306543824896 = 3448705^2 + 553664^2 .

It is a cyclic number.

It is not a de Polignac number, because 12200110001921 - 226 = 12200042893057 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12200110001893 and 12200110001902.

It is not a weakly prime, because it can be changed into another prime (12200110001221) 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 as a sum of consecutive naturals, namely, 6100055000960 + 6100055000961.

It is an arithmetic number, because the mean of its divisors is an integer number (6100055000961).

Almost surely, 212200110001921 is an apocalyptic number.

It is an amenable number.

12200110001921 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200110001921 is an equidigital number, since it uses as much as digits as its factorization.

12200110001921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 12200110001921 in words is "twelve trillion, two hundred billion, one hundred ten million, one thousand, nine hundred twenty-one".