121864 has 8 divisors (see below), whose sum is σ = 228510. Its totient is φ = 60928.

The previous prime is 121853. The next prime is 121867. The reversal of 121864 is 468121.

It can be written as a sum of positive squares in only one way, i.e., 116964 + 4900 = 342^2 + 70^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (121867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7609 + ... + 7624.

2¹²¹⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

121864 is a deficient number, since it is larger than the sum of its proper divisors (106646).

121864 is a wasteful number, since it uses less digits than its factorization.

121864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15239 (or 15235 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 121864 is about 349.0902462115. The cubic root of 121864 is about 49.5783203902.

Adding to 121864 its reverse (468121), we get a palindrome (589985).

The spelling of 121864 in words is "one hundred twenty-one thousand, eight hundred sixty-four".