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12000202022201 is a prime number
BaseRepresentation
bin1010111010100000001111…
…0001110101110100111001
31120111012121201012220011012
42232220003301311310321
53033102403204202301
641304452224043305
72345662123121351
oct256500361656471
946435551186135
1012000202022201
1139072912190a8
121419877463535
136907ca504453
142d6b54769b61
1515c245a28ebb
hexaea03c75d39

12000202022201 has 2 divisors, whose sum is σ = 12000202022202. Its totient is φ = 12000202022200.

The previous prime is 12000202022131. The next prime is 12000202022231. The reversal of 12000202022201 is 10222020200021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11947841599225 + 52360422976 = 3456565^2 + 228824^2 .

It is a cyclic number.

It is not a de Polignac number, because 12000202022201 - 226 = 12000134913337 is a prime.

It is not a weakly prime, because it can be changed into another prime (12000202022231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000101011100 + 6000101011101.

It is an arithmetic number, because the mean of its divisors is an integer number (6000101011101).

Almost surely, 212000202022201 is an apocalyptic number.

It is an amenable number.

12000202022201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12000202022201 is an equidigital number, since it uses as much as digits as its factorization.

12000202022201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12000202022201 its reverse (10222020200021), we get a palindrome (22222222222222).

The spelling of 12000202022201 in words is "twelve trillion, two hundred two million, twenty-two thousand, two hundred one".