121249 has 8 divisors (see below), whose sum is σ = 129960. Its totient is φ = 112896.

The previous prime is 121229. The next prime is 121259. The reversal of 121249 is 942121.

It can be written as a sum of positive squares in 4 ways, for example, as 11025 + 110224 = 105^2 + 332^2 .

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 121249 - 2⁹ = 120737 is a prime.

It is a Duffinian number.

121249 is a lucky number.

It is a plaindrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (121229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1017 + ... + 1129.

It is an arithmetic number, because the mean of its divisors is an integer number (16245).

2¹²¹²⁴⁹ is an apocalyptic number.

It is an amenable number.

121249 is a deficient number, since it is larger than the sum of its proper divisors (8711).

121249 is a wasteful number, since it uses less digits than its factorization.

121249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179.

The product of its digits is 144, while the sum is 19.

The square root of 121249 is about 348.2082710103. The cubic root of 121249 is about 49.4947788936.

Multiplying 121249 by its sum of digits (19), we get a triangular number (2303731 = T₂₁₄₆).

The spelling of 121249 in words is "one hundred twenty-one thousand, two hundred forty-nine".