121365 has 32 divisors (see below), whose sum is σ = 230400. Its totient is φ = 60480.

The previous prime is 121357. The next prime is 121367. The reversal of 121365 is 563121.

121365 = T₉ + T₁₀ + ... + T₈₉.

It is not a de Polignac number, because 121365 - 2³ = 121357 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 121365.

It is not an unprimeable number, because it can be changed into a prime (121367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3900 + ... + 3930.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2¹²¹³⁶⁵ is an apocalyptic number.

121365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

121365 is a deficient number, since it is larger than the sum of its proper divisors (109035).

121365 is a wasteful number, since it uses less digits than its factorization.

121365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 68 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 121365 is about 348.3747981700. The cubic root of 121365 is about 49.5105578949.

Adding to 121365 its reverse (563121), we get a palindrome (684486).

The spelling of 121365 in words is "one hundred twenty-one thousand, three hundred sixty-five".