121000967 has 8 divisors (see below), whose sum is σ = 125114880. Its totient is φ = 116900280.

The previous prime is 121000937. The next prime is 121000973. The reversal of 121000967 is 769000121.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 121000967 - 2¹⁴ = 120984583 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121000927) 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 in 7 ways as a sum of consecutive naturals, for example, 17468 + ... + 23390.

It is an arithmetic number, because the mean of its divisors is an integer number (15639360).

Almost surely, 2^121000967 is an apocalyptic number.

121000967 is a deficient number, since it is larger than the sum of its proper divisors (4113913).

121000967 is an equidigital number, since it uses as much as digits as its factorization.

121000967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6613.

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 121000967 is about 11000.0439544576. The cubic root of 121000967 is about 494.6100619155.

The spelling of 121000967 in words is "one hundred twenty-one million, nine hundred sixty-seven", and thus it is an aban number.