121065993 has 24 divisors (see below), whose sum is σ = 185597568. Its totient is φ = 75783552.

The previous prime is 121065979. The next prime is 121066007. The reversal of 121065993 is 399560121.

It is an interprime number because it is at equal distance from previous prime (121065979) and next prime (121066007).

It is not a de Polignac number, because 121065993 - 2¹⁴ = 121049609 is a prime.

It is a super-2 number, since 2×121065993² = 29313949322152098, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (121065913) 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 23 ways as a sum of consecutive naturals, for example, 98380 + ... + 99602.

It is an arithmetic number, because the mean of its divisors is an integer number (7733232).

Almost surely, 2^121065993 is an apocalyptic number.

It is an amenable number.

121065993 is a deficient number, since it is larger than the sum of its proper divisors (64531575).

121065993 is a wasteful number, since it uses less digits than its factorization.

121065993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 121065993 is about 11002.9992729255. Note that the first 3 decimals coincide. The cubic root of 121065993 is about 494.6986473073.

The spelling of 121065993 in words is "one hundred twenty-one million, sixty-five thousand, nine hundred ninety-three".