121971585 has 32 divisors (see below), whose sum is σ = 199572480. Its totient is φ = 63592128.

The previous prime is 121971581. The next prime is 121971589. The reversal of 121971585 is 585179121.

It is an interprime number because it is at equal distance from previous prime (121971581) and next prime (121971589).

It is not a de Polignac number, because 121971585 - 2² = 121971581 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121971581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250212 + ... + 250698.

It is an arithmetic number, because the mean of its divisors is an integer number (6236640).

Almost surely, 2^121971585 is an apocalyptic number.

121971585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121971585 is a deficient number, since it is larger than the sum of its proper divisors (77600895).

121971585 is a wasteful number, since it uses less digits than its factorization.

121971585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837.

The product of its digits is 25200, while the sum is 39.

The square root of 121971585 is about 11044.0746556694. The cubic root of 121971585 is about 495.9290581529.

The spelling of 121971585 in words is "one hundred twenty-one million, nine hundred seventy-one thousand, five hundred eighty-five".