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12012211200133 is a prime number
BaseRepresentation
bin1010111011001100111110…
…0101001110000010000101
31120112100121122121100021001
42232303033211032002011
53033302002031401013
641314200022253301
72346565535342044
oct256631745160205
946470548540231
1012012211200133
113911394079241
121420069287231
136919925305b1
142d757369655b
1515c6e9eadddd
hexaeccf94e085

12012211200133 has 2 divisors, whose sum is σ = 12012211200134. Its totient is φ = 12012211200132.

The previous prime is 12012211200107. The next prime is 12012211200191. The reversal of 12012211200133 is 33100211221021.

12012211200133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10504035626049 + 1508175574084 = 3240993^2 + 1228078^2 .

It is a cyclic number.

It is not a de Polignac number, because 12012211200133 - 221 = 12012209102981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12012211200133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12012217200133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6006105600066 + 6006105600067.

It is an arithmetic number, because the mean of its divisors is an integer number (6006105600067).

Almost surely, 212012211200133 is an apocalyptic number.

It is an amenable number.

12012211200133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12012211200133 is an equidigital number, since it uses as much as digits as its factorization.

12012211200133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12012211200133 its reverse (33100211221021), we get a palindrome (45112422421154).

The spelling of 12012211200133 in words is "twelve trillion, twelve billion, two hundred eleven million, two hundred thousand, one hundred thirty-three".