121129007 has 2 divisors, whose sum is σ = 121129008. Its totient is φ = 121129006.

The previous prime is 121128991. The next prime is 121129013. The reversal of 121129007 is 700921121.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 121129007 - 2⁴ = 121128991 is a prime.

It is equal to p_6902312 and since 121129007 and 6902312 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121129037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60564503 + 60564504.

It is an arithmetic number, because the mean of its divisors is an integer number (60564504).

Almost surely, 2^121129007 is an apocalyptic number.

121129007 is a deficient number, since it is larger than the sum of its proper divisors (1).

121129007 is an equidigital number, since it uses as much as digits as its factorization.

121129007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 23.

The square root of 121129007 is about 11005.8623923798. The cubic root of 121129007 is about 494.7844614789.

The spelling of 121129007 in words is "one hundred twenty-one million, one hundred twenty-nine thousand, seven".