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12111200202137 is a prime number
BaseRepresentation
bin1011000000111101101111…
…0010010010110110011001
31120212211010100212122222112
42300033123302102312121
53041412214222432022
641431450352202105
72360001555102401
oct260173362226631
946784110778875
1012111200202137
11394a370859603
121437294539335
1369b109751c6a
142dc284345801
151600905938e2
hexb03dbc92d99

12111200202137 has 2 divisors, whose sum is σ = 12111200202138. Its totient is φ = 12111200202136.

The previous prime is 12111200202109. The next prime is 12111200202169. The reversal of 12111200202137 is 73120200211121.

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., 9847728095881 + 2263472106256 = 3138109^2 + 1504484^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12111200202137 is a prime.

It is not a weakly prime, because it can be changed into another prime (12111250202137) 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, 6055600101068 + 6055600101069.

It is an arithmetic number, because the mean of its divisors is an integer number (6055600101069).

Almost surely, 212111200202137 is an apocalyptic number.

It is an amenable number.

12111200202137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12111200202137 is an equidigital number, since it uses as much as digits as its factorization.

12111200202137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 12111200202137 its reverse (73120200211121), we get a palindrome (85231400413258).

The spelling of 12111200202137 in words is "twelve trillion, one hundred eleven billion, two hundred million, two hundred two thousand, one hundred thirty-seven".