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12211240010401 is a prime number
BaseRepresentation
bin1011000110110010011010…
…0111111000001010100001
31121020101100022102110220101
42301230212213320022201
53100032104420313101
641545433300342401
72400142624330105
oct261544647701241
947211308373811
1012211240010401
1139888377041a3
1214527536a4a01
136a769058bb93
143030547a9905
15162998043401
hexb1b269f82a1

12211240010401 has 2 divisors, whose sum is σ = 12211240010402. Its totient is φ = 12211240010400.

The previous prime is 12211240010381. The next prime is 12211240010447. The reversal of 12211240010401 is 10401004211221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9288012045376 + 2923227965025 = 3047624^2 + 1709745^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211240010401 - 213 = 12211240002209 is a prime.

It is a super-2 number, since 2×122112400104012 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12211240019401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105620005200 + 6105620005201.

It is an arithmetic number, because the mean of its divisors is an integer number (6105620005201).

Almost surely, 212211240010401 is an apocalyptic number.

It is an amenable number.

12211240010401 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211240010401 is an equidigital number, since it uses as much as digits as its factorization.

12211240010401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12211240010401 its reverse (10401004211221), we get a palindrome (22612244221622).

The spelling of 12211240010401 in words is "twelve trillion, two hundred eleven billion, two hundred forty million, ten thousand, four hundred one".