121122131121209 has 16 divisors (see below), whose sum is σ = 126748662779904. Its totient is φ = 115603227993600.

The previous prime is 121122131121197. The next prime is 121122131121221. The reversal of 121122131121209 is 902121131221121.

It is an interprime number because it is at equal distance from previous prime (121122131121197) and next prime (121122131121221).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-121122131121209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121122131021209) 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 in 15 ways as a sum of consecutive naturals, for example, 42128177 + ... + 44911329.

It is an arithmetic number, because the mean of its divisors is an integer number (7921791423744).

Almost surely, 2^{121122131121209} is an apocalyptic number.

It is an amenable number.

121122131121209 is a deficient number, since it is larger than the sum of its proper divisors (5626531658695).

121122131121209 is a wasteful number, since it uses less digits than its factorization.

121122131121209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802488.

The product of its (nonzero) digits is 864, while the sum is 29.

The spelling of 121122131121209 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred thirty-one million, one hundred twenty-one thousand, two hundred nine".