1211331232129 has 2 divisors, whose sum is σ = 1211331232130. Its totient is φ = 1211331232128.

The previous prime is 1211331232057. The next prime is 1211331232157. The reversal of 1211331232129 is 9212321331121.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1202443833600 + 8887398529 = 1096560^2 + 94273^2 .

It is a cyclic number.

It is not a de Polignac number, because 1211331232129 - 2²⁵ = 1211297677697 is a prime.

It is a super-2 number, since 2×1211331232129² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1211331232129.

It is not a weakly prime, because it can be changed into another prime (1211331232729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 605665616064 + 605665616065.

It is an arithmetic number, because the mean of its divisors is an integer number (605665616065).

Almost surely, 2^{1211331232129} is an apocalyptic number.

It is an amenable number.

1211331232129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1211331232129 is an equidigital number, since it uses as much as digits as its factorization.

1211331232129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 31.

The spelling of 1211331232129 in words is "one trillion, two hundred eleven billion, three hundred thirty-one million, two hundred thirty-two thousand, one hundred twenty-nine".