121122009 has 12 divisors (see below), whose sum is σ = 180987300. Its totient is φ = 77963424.

The previous prime is 121122007. The next prime is 121122011. The reversal of 121122009 is 900221121.

It is an interprime number because it is at equal distance from previous prime (121122007) and next prime (121122011).

It can be written as a sum of positive squares in 2 ways, for example, as 37454400 + 83667609 = 6120^2 + 9147^2 .

It is not a de Polignac number, because 121122009 - 2¹ = 121122007 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121121982 and 121122000.

It is not an unprimeable number, because it can be changed into a prime (121122007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231774 + ... + 232295.

It is an arithmetic number, because the mean of its divisors is an integer number (15082275).

Almost surely, 2^121122009 is an apocalyptic number.

It is an amenable number.

121122009 is a deficient number, since it is larger than the sum of its proper divisors (59865291).

121122009 is a wasteful number, since it uses less digits than its factorization.

121122009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464104 (or 464101 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 121122009 is about 11005.5444663133. The cubic root of 121122009 is about 494.7749328822.

It can be divided in two parts, 1211 and 22009, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 121122009 in words is "one hundred twenty-one million, one hundred twenty-two thousand, nine".